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1,032,480

1,032,480 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.).

1,032,480 (one million thirty-two thousand four hundred eighty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 5 × 239. Its proper divisors sum to 2,596,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFC120.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Refactorable 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
842,301
Recamán's sequence
a(380,971) = 1,032,480
Square (n²)
1,066,014,950,400
Cube (n³)
1,100,639,115,988,992,000
Divisor count
96
σ(n) — sum of divisors
3,628,800
φ(n) — Euler's totient
274,176
Sum of prime factors
263

Primality

Prime factorization: 2 5 × 3 3 × 5 × 239

Nearest primes: 1,032,467 (−13) · 1,032,491 (+11)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 30 · 32 · 36 · 40 · 45 · 48 · 54 · 60 · 72 · 80 · 90 · 96 · 108 · 120 · 135 · 144 · 160 · 180 · 216 · 239 · 240 · 270 · 288 · 360 · 432 · 478 · 480 · 540 · 717 · 720 · 864 · 956 · 1080 · 1195 · 1434 · 1440 · 1912 · 2151 · 2160 · 2390 · 2868 · 3585 · 3824 · 4302 · 4320 · 4780 · 5736 · 6453 · 7170 · 7648 · 8604 · 9560 · 10755 · 11472 · 12906 · 14340 · 17208 · 19120 · 21510 · 22944 · 25812 · 28680 · 32265 · 34416 · 38240 · 43020 · 51624 · 57360 · 64530 · 68832 · 86040 · 103248 · 114720 · 129060 · 172080 · 206496 · 258120 · 344160 · 516240 (half) · 1032480
Aliquot sum (sum of proper divisors): 2,596,320
Factor pairs (a × b = 1,032,480)
1 × 1032480
2 × 516240
3 × 344160
4 × 258120
5 × 206496
6 × 172080
8 × 129060
9 × 114720
10 × 103248
12 × 86040
15 × 68832
16 × 64530
18 × 57360
20 × 51624
24 × 43020
27 × 38240
30 × 34416
32 × 32265
36 × 28680
40 × 25812
45 × 22944
48 × 21510
54 × 19120
60 × 17208
72 × 14340
80 × 12906
90 × 11472
96 × 10755
108 × 9560
120 × 8604
135 × 7648
144 × 7170
160 × 6453
180 × 5736
216 × 4780
239 × 4320
240 × 4302
270 × 3824
288 × 3585
360 × 2868
432 × 2390
478 × 2160
480 × 2151
540 × 1912
717 × 1440
720 × 1434
864 × 1195
956 × 1080
First multiples
1,032,480 · 2,064,960 (double) · 3,097,440 · 4,129,920 · 5,162,400 · 6,194,880 · 7,227,360 · 8,259,840 · 9,292,320 · 10,324,800

Sums & aliquot sequence

As consecutive integers: 344,159 + 344,160 + 344,161 206,494 + 206,495 + 206,496 + 206,497 + 206,498 114,716 + 114,717 + … + 114,724 68,825 + 68,826 + … + 68,839
Aliquot sequence: 1,032,480 2,596,320 6,505,920 16,728,984 30,899,016 59,460,984 117,583,416 200,871,864 395,126,136 676,944,864 1,313,938,800 3,362,748,480 11,898,221,760 — keeps growing

Continued fraction of √n

√1,032,480 = [1016; (9, 13, 1, 9, 2, 3, 1, 1, 1, 1, 1, 3, 2, 9, 1, 13, 9, 2032)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one million thirty-two thousand four hundred eighty
Ordinal
1032480th
Binary
11111100000100100000
Octal
3740440
Hexadecimal
0xFC120
Base64
D8Eg
One's complement
4,293,934,815 (32-bit)
Scientific notation
1.03248 × 10⁶
As a duration
1,032,480 s = 11 days, 22 hours, 48 minutes
In other bases
ternary (3) 1221110022000
quaternary (4) 3330010200
quinary (5) 231014410
senary (6) 34044000
septenary (7) 11530101
nonary (9) 1843260
undecimal (11) 645799
duodecimal (12) 419600
tridecimal (13) 2a1c47
tetradecimal (14) 1cc3a8
pentadecimal (15) 155dc0

As an angle

1,032,480° = 2,868 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零三萬二千四百八十
Chinese (financial)
壹佰零參萬貳仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٠٣٢٤٨٠ Devanagari १०३२४८० Bengali ১০৩২৪৮০ Tamil ௧௦௩௨௪௮௦ Thai ๑๐๓๒๔๘๐ Tibetan ༡༠༣༢༤༨༠ Khmer ១០៣២៤៨០ Lao ໑໐໓໒໔໘໐ Burmese ၁၀၃၂၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1032480, here are decompositions:

  • 13 + 1032467 = 1032480
  • 17 + 1032463 = 1032480
  • 23 + 1032457 = 1032480
  • 47 + 1032433 = 1032480
  • 61 + 1032419 = 1032480
  • 73 + 1032407 = 1032480
  • 83 + 1032397 = 1032480
  • 89 + 1032391 = 1032480

Showing the first eight; more decompositions exist.

Hex color
#0FC120
RGB(15, 193, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.193.32.

Address
0.15.193.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.193.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 3, 2480 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2480-03-01 (DMMYYYY (Euro, single-digit day))
  • 2480-10-03 (MMDYYYY (US, single-digit day))
  • 2480-03-10 (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 1,032,480 and was likely granted around 1912.

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

Position in π

The digit sequence 1032480 first appears in π at position 111,793 of the decimal expansion (the 111,793ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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