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1,053,360

1,053,360 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,053,360 (one million fifty-three thousand three hundred sixty) is an even 7-digit number. It is a composite number with 240 divisors, and factors as 2⁴ × 3² × 5 × 7 × 11 × 19. Its proper divisors sum to 3,589,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1012B0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
633,501
Square (n²)
1,109,567,289,600
Cube (n³)
1,168,773,800,173,056,000
Divisor count
240
σ(n) — sum of divisors
4,642,560
φ(n) — Euler's totient
207,360
Sum of prime factors
56

Primality

Prime factorization: 2 4 × 3 2 × 5 × 7 × 11 × 19

Nearest primes: 1,053,347 (−13) · 1,053,361 (+1)

Divisors & multiples

All divisors (240)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 11 · 12 · 14 · 15 · 16 · 18 · 19 · 20 · 21 · 22 · 24 · 28 · 30 · 33 · 35 · 36 · 38 · 40 · 42 · 44 · 45 · 48 · 55 · 56 · 57 · 60 · 63 · 66 · 70 · 72 · 76 · 77 · 80 · 84 · 88 · 90 · 95 · 99 · 105 · 110 · 112 · 114 · 120 · 126 · 132 · 133 · 140 · 144 · 152 · 154 · 165 · 168 · 171 · 176 · 180 · 190 · 198 · 209 · 210 · 220 · 228 · 231 · 240 · 252 · 264 · 266 · 280 · 285 · 304 · 308 · 315 · 330 · 336 · 342 · 360 · 380 · 385 · 396 · 399 · 418 · 420 · 440 · 456 · 462 · 495 · 504 · 528 · 532 · 560 · 570 · 616 · 627 · 630 · 660 · 665 · 684 · 693 · 720 · 760 · 770 · 792 · 798 · 836 · 840 · 855 · 880 · 912 · 924 · 990 · 1008 · 1045 · 1064 · 1140 · 1155 · 1197 · 1232 · 1254 · 1260 · 1320 · 1330 · 1368 · 1386 · 1463 · 1520 · 1540 · 1584 · 1596 · 1672 · 1680 · 1710 · 1848 · 1881 · 1980 · 1995 · 2090 · 2128 · 2280 · 2310 · 2394 · 2508 · 2520 · 2640 · 2660 · 2736 · 2772 · 2926 · 3080 · 3135 · 3192 · 3344 · 3420 · 3465 · 3696 · 3762 · 3960 · 3990 · 4180 · 4389 · 4560 · 4620 · 4788 · 5016 · 5040 · 5320 · 5544 · 5852 · 5985 · 6160 · 6270 · 6384 · 6840 · 6930 · 7315 · 7524 · 7920 · 7980 · 8360 · 8778 · 9240 · 9405 · 9576 · 10032 · 10640 · 11088 · 11704 · 11970 · 12540 · 13167 · 13680 · 13860 · 14630 · 15048 · 15960 · 16720 · 17556 · 18480 · 18810 · 19152 · 21945 · 23408 · 23940 · 25080 · 26334 · 27720 · 29260 · 30096 · 31920 · 35112 · 37620 · 43890 · 47880 · 50160 · 52668 · 55440 · 58520 · 65835 · 70224 · 75240 · 87780 · 95760 · 105336 · 117040 · 131670 · 150480 · 175560 · 210672 · 263340 · 351120 · 526680 (half) · 1053360
Aliquot sum (sum of proper divisors): 3,589,200
Factor pairs (a × b = 1,053,360)
1 × 1053360
2 × 526680
3 × 351120
4 × 263340
5 × 210672
6 × 175560
7 × 150480
8 × 131670
9 × 117040
10 × 105336
11 × 95760
12 × 87780
14 × 75240
15 × 70224
16 × 65835
18 × 58520
19 × 55440
20 × 52668
21 × 50160
22 × 47880
24 × 43890
28 × 37620
30 × 35112
33 × 31920
35 × 30096
36 × 29260
38 × 27720
40 × 26334
42 × 25080
44 × 23940
45 × 23408
48 × 21945
55 × 19152
56 × 18810
57 × 18480
60 × 17556
63 × 16720
66 × 15960
70 × 15048
72 × 14630
76 × 13860
77 × 13680
80 × 13167
84 × 12540
88 × 11970
90 × 11704
95 × 11088
99 × 10640
105 × 10032
110 × 9576
112 × 9405
114 × 9240
120 × 8778
126 × 8360
132 × 7980
133 × 7920
140 × 7524
144 × 7315
152 × 6930
154 × 6840
165 × 6384
168 × 6270
171 × 6160
176 × 5985
180 × 5852
190 × 5544
198 × 5320
209 × 5040
210 × 5016
220 × 4788
228 × 4620
231 × 4560
240 × 4389
252 × 4180
264 × 3990
266 × 3960
280 × 3762
285 × 3696
304 × 3465
308 × 3420
315 × 3344
330 × 3192
336 × 3135
342 × 3080
360 × 2926
380 × 2772
385 × 2736
396 × 2660
399 × 2640
418 × 2520
420 × 2508
440 × 2394
456 × 2310
462 × 2280
495 × 2128
504 × 2090
528 × 1995
532 × 1980
560 × 1881
570 × 1848
616 × 1710
627 × 1680
630 × 1672
660 × 1596
665 × 1584
684 × 1540
693 × 1520
720 × 1463
760 × 1386
770 × 1368
792 × 1330
798 × 1320
836 × 1260
840 × 1254
855 × 1232
880 × 1197
912 × 1155
924 × 1140
990 × 1064
1008 × 1045
First multiples
1,053,360 · 2,106,720 (double) · 3,160,080 · 4,213,440 · 5,266,800 · 6,320,160 · 7,373,520 · 8,426,880 · 9,480,240 · 10,533,600

Sums & aliquot sequence

As consecutive integers: 351,119 + 351,120 + 351,121 210,670 + 210,671 + 210,672 + 210,673 + 210,674 150,477 + 150,478 + … + 150,483 117,036 + 117,037 + … + 117,044
Aliquot sequence: 1,053,360 3,589,200 8,878,814 7,709,986 4,448,798 2,925,442 1,929,590 1,811,098 963,494 688,234 344,120 541,480 676,940 974,164 739,436 554,584 493,736 — unresolved within range

Continued fraction of √n

√1,053,360 = [1026; (3, 2052)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one million fifty-three thousand three hundred sixty
Ordinal
1053360th
Binary
100000001001010110000
Octal
4011260
Hexadecimal
0x1012B0
Base64
EBKw
One's complement
4,293,913,935 (32-bit)
Scientific notation
1.05336 × 10⁶
As a duration
1,053,360 s = 12 days, 4 hours, 36 minutes
In other bases
ternary (3) 1222111221100
quaternary (4) 10001022300
quinary (5) 232201420
senary (6) 34324400
septenary (7) 11645010
nonary (9) 1874840
undecimal (11) 65a450
duodecimal (12) 429700
tridecimal (13) 2ab5b9
tetradecimal (14) 1d5c40
pentadecimal (15) 15c190

As an angle

1,053,360° = 2,926 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬三千三百六十
Chinese (financial)
壹佰零伍萬參仟參佰陸拾
In other modern scripts
Eastern Arabic ١٠٥٣٣٦٠ Devanagari १०५३३६० Bengali ১০৫৩৩৬০ Tamil ௧௦௫௩௩௬௦ Thai ๑๐๕๓๓๖๐ Tibetan ༡༠༥༣༣༦༠ Khmer ១០៥៣៣៦០ Lao ໑໐໕໓໓໖໐ Burmese ၁၀၅၃၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053360, here are decompositions:

  • 13 + 1053347 = 1053360
  • 41 + 1053319 = 1053360
  • 59 + 1053301 = 1053360
  • 67 + 1053293 = 1053360
  • 89 + 1053271 = 1053360
  • 97 + 1053263 = 1053360
  • 101 + 1053259 = 1053360
  • 103 + 1053257 = 1053360

Showing the first eight; more decompositions exist.

Hex color
#1012B0
RGB(16, 18, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.18.176.

Address
0.16.18.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.18.176

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 3360 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3360-05-01 (DMMYYYY (Euro, single-digit day))
  • 3360-10-05 (MMDYYYY (US, single-digit day))
  • 3360-05-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,053,360 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.