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1,052,640

1,052,640 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.).

1,052,640 (one million fifty-two thousand six hundred forty) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 5 × 17 × 43. Its proper divisors sum to 2,839,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100FE0.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy 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
462,501
Square (n²)
1,108,050,969,600
Cube (n³)
1,166,378,772,639,744,000
Divisor count
144
σ(n) — sum of divisors
3,891,888
φ(n) — Euler's totient
258,048
Sum of prime factors
81

Primality

Prime factorization: 2 5 × 3 2 × 5 × 17 × 43

Nearest primes: 1,052,629 (−11) · 1,052,663 (+23)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 17 · 18 · 20 · 24 · 30 · 32 · 34 · 36 · 40 · 43 · 45 · 48 · 51 · 60 · 68 · 72 · 80 · 85 · 86 · 90 · 96 · 102 · 120 · 129 · 136 · 144 · 153 · 160 · 170 · 172 · 180 · 204 · 215 · 240 · 255 · 258 · 272 · 288 · 306 · 340 · 344 · 360 · 387 · 408 · 430 · 480 · 510 · 516 · 544 · 612 · 645 · 680 · 688 · 720 · 731 · 765 · 774 · 816 · 860 · 1020 · 1032 · 1224 · 1290 · 1360 · 1376 · 1440 · 1462 · 1530 · 1548 · 1632 · 1720 · 1935 · 2040 · 2064 · 2193 · 2448 · 2580 · 2720 · 2924 · 3060 · 3096 · 3440 · 3655 · 3870 · 4080 · 4128 · 4386 · 4896 · 5160 · 5848 · 6120 · 6192 · 6579 · 6880 · 7310 · 7740 · 8160 · 8772 · 10320 · 10965 · 11696 · 12240 · 12384 · 13158 · 14620 · 15480 · 17544 · 20640 · 21930 · 23392 · 24480 · 26316 · 29240 · 30960 · 32895 · 35088 · 43860 · 52632 · 58480 · 61920 · 65790 · 70176 · 87720 · 105264 · 116960 · 131580 · 175440 · 210528 · 263160 · 350880 · 526320 (half) · 1052640
Aliquot sum (sum of proper divisors): 2,839,248
Factor pairs (a × b = 1,052,640)
1 × 1052640
2 × 526320
3 × 350880
4 × 263160
5 × 210528
6 × 175440
8 × 131580
9 × 116960
10 × 105264
12 × 87720
15 × 70176
16 × 65790
17 × 61920
18 × 58480
20 × 52632
24 × 43860
30 × 35088
32 × 32895
34 × 30960
36 × 29240
40 × 26316
43 × 24480
45 × 23392
48 × 21930
51 × 20640
60 × 17544
68 × 15480
72 × 14620
80 × 13158
85 × 12384
86 × 12240
90 × 11696
96 × 10965
102 × 10320
120 × 8772
129 × 8160
136 × 7740
144 × 7310
153 × 6880
160 × 6579
170 × 6192
172 × 6120
180 × 5848
204 × 5160
215 × 4896
240 × 4386
255 × 4128
258 × 4080
272 × 3870
288 × 3655
306 × 3440
340 × 3096
344 × 3060
360 × 2924
387 × 2720
408 × 2580
430 × 2448
480 × 2193
510 × 2064
516 × 2040
544 × 1935
612 × 1720
645 × 1632
680 × 1548
688 × 1530
720 × 1462
731 × 1440
765 × 1376
774 × 1360
816 × 1290
860 × 1224
1020 × 1032
First multiples
1,052,640 · 2,105,280 (double) · 3,157,920 · 4,210,560 · 5,263,200 · 6,315,840 · 7,368,480 · 8,421,120 · 9,473,760 · 10,526,400

Sums & aliquot sequence

As consecutive integers: 350,879 + 350,880 + 350,881 210,526 + 210,527 + 210,528 + 210,529 + 210,530 116,956 + 116,957 + … + 116,964 70,169 + 70,170 + … + 70,183
Aliquot sequence: 1,052,640 2,839,248 5,107,106 3,004,234 1,612,154 899,494 467,066 249,958 124,982 116,938 61,622 39,250 34,694 25,786 12,896 15,328 14,912 — unresolved within range

Continued fraction of √n

√1,052,640 = [1025; (1, 55, 1, 2050)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million fifty-two thousand six hundred forty
Ordinal
1052640th
Binary
100000000111111100000
Octal
4007740
Hexadecimal
0x100FE0
Base64
EA/g
One's complement
4,293,914,655 (32-bit)
Scientific notation
1.05264 × 10⁶
As a duration
1,052,640 s = 12 days, 4 hours, 24 minutes
In other bases
ternary (3) 1222110221200
quaternary (4) 10000333200
quinary (5) 232141030
senary (6) 34321200
septenary (7) 11642631
nonary (9) 1873850
undecimal (11) 659956
duodecimal (12) 429200
tridecimal (13) 2ab184
tetradecimal (14) 1d5888
pentadecimal (15) 15bd60
Palindromic in base 11

As an angle

1,052,640° = 2,924 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬二千六百四十
Chinese (financial)
壹佰零伍萬貳仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٢٦٤٠ Devanagari १०५२६४० Bengali ১০৫২৬৪০ Tamil ௧௦௫௨௬௪௦ Thai ๑๐๕๒๖๔๐ Tibetan ༡༠༥༢༦༤༠ Khmer ១០៥២៦៤០ Lao ໑໐໕໒໖໔໐ Burmese ၁၀၅၂၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052640, here are decompositions:

  • 11 + 1052629 = 1052640
  • 31 + 1052609 = 1052640
  • 67 + 1052573 = 1052640
  • 73 + 1052567 = 1052640
  • 79 + 1052561 = 1052640
  • 89 + 1052551 = 1052640
  • 103 + 1052537 = 1052640
  • 107 + 1052533 = 1052640

Showing the first eight; more decompositions exist.

Hex color
#100FE0
RGB(16, 15, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.15.224.

Address
0.16.15.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.15.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 2640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2640-05-01 (DMMYYYY (Euro, single-digit day))
  • 2640-10-05 (MMDYYYY (US, single-digit day))
  • 2640-05-10 (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 1,052,640 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°.