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56,640

56,640 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.).
Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
4,665
Recamán's sequence
a(57,932) = 56,640
Square (n²)
3,208,089,600
Cube (n³)
181,706,194,944,000
Divisor count
56
σ(n) — sum of divisors
182,880
φ(n) — Euler's totient
14,848
Sum of prime factors
79

Primality

Prime factorization: 2 6 × 3 × 5 × 59

Nearest primes: 56,633 (−7) · 56,659 (+19)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 59 · 60 · 64 · 80 · 96 · 118 · 120 · 160 · 177 · 192 · 236 · 240 · 295 · 320 · 354 · 472 · 480 · 590 · 708 · 885 · 944 · 960 · 1180 · 1416 · 1770 · 1888 · 2360 · 2832 · 3540 · 3776 · 4720 · 5664 · 7080 · 9440 · 11328 · 14160 · 18880 · 28320 (half) · 56640
Aliquot sum (sum of proper divisors): 126,240
Factor pairs (a × b = 56,640)
1 × 56640
2 × 28320
3 × 18880
4 × 14160
5 × 11328
6 × 9440
8 × 7080
10 × 5664
12 × 4720
15 × 3776
16 × 3540
20 × 2832
24 × 2360
30 × 1888
32 × 1770
40 × 1416
48 × 1180
59 × 960
60 × 944
64 × 885
80 × 708
96 × 590
118 × 480
120 × 472
160 × 354
177 × 320
192 × 295
236 × 240
First multiples
56,640 · 113,280 (double) · 169,920 · 226,560 · 283,200 · 339,840 · 396,480 · 453,120 · 509,760 · 566,400

Sums & aliquot sequence

As consecutive integers: 18,879 + 18,880 + 18,881 11,326 + 11,327 + 11,328 + 11,329 + 11,330 3,769 + 3,770 + … + 3,783 931 + 932 + … + 989
Aliquot sequence: 56,640 126,240 272,928 443,760 964,632 1,447,008 2,351,640 4,703,640 10,157,160 24,679,320 49,359,000 104,650,440 210,061,560 420,123,480 1,024,830,120 2,058,353,880 5,322,625,320 — unresolved within range

Representations

In words
fifty-six thousand six hundred forty
Ordinal
56640th
Binary
1101110101000000
Octal
156500
Hexadecimal
0xDD40
Base64
3UA=
One's complement
8,895 (16-bit)
In other bases
ternary (3) 2212200210
quaternary (4) 31311000
quinary (5) 3303030
senary (6) 1114120
septenary (7) 324063
nonary (9) 85623
undecimal (11) 39611
duodecimal (12) 28940
tridecimal (13) 1ca1c
tetradecimal (14) 168da
pentadecimal (15) 11bb0

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵νϛχμʹ
Mayan (base 20)
𝋧·𝋡·𝋬·𝋠
Chinese
五萬六千六百四十
Chinese (financial)
伍萬陸仟陸佰肆拾
In other modern scripts
Eastern Arabic ٥٦٦٤٠ Devanagari ५६६४० Bengali ৫৬৬৪০ Tamil ௫௬௬௪௦ Thai ๕๖๖๔๐ Tibetan ༥༦༦༤༠ Khmer ៥៦៦៤០ Lao ໕໖໖໔໐ Burmese ၅၆၆၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 56,640 = 2
e — Euler's number (e)
Digit 56,640 = 6
φ — Golden ratio (φ)
Digit 56,640 = 4
√2 — Pythagoras's (√2)
Digit 56,640 = 1
ln 2 — Natural log of 2
Digit 56,640 = 4
γ — Euler-Mascheroni (γ)
Digit 56,640 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 56640, here are decompositions:

  • 7 + 56633 = 56640
  • 11 + 56629 = 56640
  • 29 + 56611 = 56640
  • 41 + 56599 = 56640
  • 43 + 56597 = 56640
  • 71 + 56569 = 56640
  • 97 + 56543 = 56640
  • 107 + 56533 = 56640

Showing the first eight; more decompositions exist.

Hex color
#00DD40
RGB(0, 221, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.221.64.

Address
0.0.221.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.221.64

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

Position in π

The digit sequence 56640 first appears in π at position 12,400 of the decimal expansion (the 12,400ordinal-suffix:th 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.