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1,048,320

1,048,320 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.).

1,048,320 (one million forty-eight thousand three hundred twenty) is an even 7-digit number. It is a composite number with 216 divisors, and factors as 2⁸ × 3² × 5 × 7 × 13. Its proper divisors sum to 3,415,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFF00.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
238,401
Square (n²)
1,098,974,822,400
Cube (n³)
1,152,077,285,818,368,000
Divisor count
216
σ(n) — sum of divisors
4,464,096
φ(n) — Euler's totient
221,184
Sum of prime factors
47

Primality

Prime factorization: 2 8 × 3 2 × 5 × 7 × 13

Nearest primes: 1,048,309 (−11) · 1,048,343 (+23)

Divisors & multiples

All divisors (216)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 13 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 26 · 28 · 30 · 32 · 35 · 36 · 39 · 40 · 42 · 45 · 48 · 52 · 56 · 60 · 63 · 64 · 65 · 70 · 72 · 78 · 80 · 84 · 90 · 91 · 96 · 104 · 105 · 112 · 117 · 120 · 126 · 128 · 130 · 140 · 144 · 156 · 160 · 168 · 180 · 182 · 192 · 195 · 208 · 210 · 224 · 234 · 240 · 252 · 256 · 260 · 273 · 280 · 288 · 312 · 315 · 320 · 336 · 360 · 364 · 384 · 390 · 416 · 420 · 448 · 455 · 468 · 480 · 504 · 520 · 546 · 560 · 576 · 585 · 624 · 630 · 640 · 672 · 720 · 728 · 768 · 780 · 819 · 832 · 840 · 896 · 910 · 936 · 960 · 1008 · 1040 · 1092 · 1120 · 1152 · 1170 · 1248 · 1260 · 1280 · 1344 · 1365 · 1440 · 1456 · 1560 · 1638 · 1664 · 1680 · 1792 · 1820 · 1872 · 1920 · 2016 · 2080 · 2184 · 2240 · 2304 · 2340 · 2496 · 2520 · 2688 · 2730 · 2880 · 2912 · 3120 · 3276 · 3328 · 3360 · 3640 · 3744 · 3840 · 4032 · 4095 · 4160 · 4368 · 4480 · 4680 · 4992 · 5040 · 5376 · 5460 · 5760 · 5824 · 6240 · 6552 · 6720 · 7280 · 7488 · 8064 · 8190 · 8320 · 8736 · 8960 · 9360 · 9984 · 10080 · 10920 · 11520 · 11648 · 12480 · 13104 · 13440 · 14560 · 14976 · 16128 · 16380 · 16640 · 17472 · 18720 · 20160 · 21840 · 23296 · 24960 · 26208 · 26880 · 29120 · 29952 · 32760 · 34944 · 37440 · 40320 · 43680 · 49920 · 52416 · 58240 · 65520 · 69888 · 74880 · 80640 · 87360 · 104832 · 116480 · 131040 · 149760 · 174720 · 209664 · 262080 · 349440 · 524160 (half) · 1048320
Aliquot sum (sum of proper divisors): 3,415,776
Factor pairs (a × b = 1,048,320)
1 × 1048320
2 × 524160
3 × 349440
4 × 262080
5 × 209664
6 × 174720
7 × 149760
8 × 131040
9 × 116480
10 × 104832
12 × 87360
13 × 80640
14 × 74880
15 × 69888
16 × 65520
18 × 58240
20 × 52416
21 × 49920
24 × 43680
26 × 40320
28 × 37440
30 × 34944
32 × 32760
35 × 29952
36 × 29120
39 × 26880
40 × 26208
42 × 24960
45 × 23296
48 × 21840
52 × 20160
56 × 18720
60 × 17472
63 × 16640
64 × 16380
65 × 16128
70 × 14976
72 × 14560
78 × 13440
80 × 13104
84 × 12480
90 × 11648
91 × 11520
96 × 10920
104 × 10080
105 × 9984
112 × 9360
117 × 8960
120 × 8736
126 × 8320
128 × 8190
130 × 8064
140 × 7488
144 × 7280
156 × 6720
160 × 6552
168 × 6240
180 × 5824
182 × 5760
192 × 5460
195 × 5376
208 × 5040
210 × 4992
224 × 4680
234 × 4480
240 × 4368
252 × 4160
256 × 4095
260 × 4032
273 × 3840
280 × 3744
288 × 3640
312 × 3360
315 × 3328
320 × 3276
336 × 3120
360 × 2912
364 × 2880
384 × 2730
390 × 2688
416 × 2520
420 × 2496
448 × 2340
455 × 2304
468 × 2240
480 × 2184
504 × 2080
520 × 2016
546 × 1920
560 × 1872
576 × 1820
585 × 1792
624 × 1680
630 × 1664
640 × 1638
672 × 1560
720 × 1456
728 × 1440
768 × 1365
780 × 1344
819 × 1280
832 × 1260
840 × 1248
896 × 1170
910 × 1152
936 × 1120
960 × 1092
1008 × 1040
First multiples
1,048,320 · 2,096,640 (double) · 3,144,960 · 4,193,280 · 5,241,600 · 6,289,920 · 7,338,240 · 8,386,560 · 9,434,880 · 10,483,200

Sums & aliquot sequence

As consecutive integers: 349,439 + 349,440 + 349,441 209,662 + 209,663 + 209,664 + 209,665 + 209,666 149,757 + 149,758 + … + 149,763 116,476 + 116,477 + … + 116,484
Aliquot sequence: 1,048,320 3,415,776 8,776,992 18,342,240 49,588,896 100,764,384 217,312,032 434,626,080 1,253,201,376 2,757,928,992 6,152,331,360 15,996,073,632 — keeps growing

Continued fraction of √n

√1,048,320 = [1023; (1, 6, 1, 2046)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million forty-eight thousand three hundred twenty
Ordinal
1048320th
Binary
11111111111100000000
Octal
3777400
Hexadecimal
0xFFF00
Base64
D/8A
One's complement
4,293,918,975 (32-bit)
Scientific notation
1.04832 × 10⁶
As a duration
1,048,320 s = 12 days, 3 hours, 12 minutes
In other bases
ternary (3) 1222021000200
quaternary (4) 3333330000
quinary (5) 232021240
senary (6) 34245200
septenary (7) 11624220
nonary (9) 1867020
undecimal (11) 656689
duodecimal (12) 426800
tridecimal (13) 2a9210
tetradecimal (14) 1d4080
pentadecimal (15) 15a930

As an angle

1,048,320° = 2,912 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Chinese
一百零四萬八千三百二十
Chinese (financial)
壹佰零肆萬捌仟參佰貳拾
In other modern scripts
Eastern Arabic ١٠٤٨٣٢٠ Devanagari १०४८३२० Bengali ১০৪৮৩২০ Tamil ௧௦௪௮௩௨௦ Thai ๑๐๔๘๓๒๐ Tibetan ༡༠༤༨༣༢༠ Khmer ១០៤៨៣២០ Lao ໑໐໔໘໓໒໐ Burmese ၁၀၄၈၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1048320, here are decompositions:

  • 11 + 1048309 = 1048320
  • 29 + 1048291 = 1048320
  • 47 + 1048273 = 1048320
  • 59 + 1048261 = 1048320
  • 101 + 1048219 = 1048320
  • 103 + 1048217 = 1048320
  • 107 + 1048213 = 1048320
  • 127 + 1048193 = 1048320

Showing the first eight; more decompositions exist.

Hex color
#0FFF00
RGB(15, 255, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.255.0.

Address
0.15.255.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.255.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 8320 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8320-04-01 (DMMYYYY (Euro, single-digit day))
  • 8320-10-04 (MMDYYYY (US, single-digit day))
  • 8320-04-10 (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 1,048,320 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°.