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20,640

20,640 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 Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
4,602
Recamán's sequence
a(42,559) = 20,640
Square (n²)
426,009,600
Cube (n³)
8,792,838,144,000
Divisor count
48
σ(n) — sum of divisors
66,528
φ(n) — Euler's totient
5,376
Sum of prime factors
61

Primality

Prime factorization: 2 5 × 3 × 5 × 43

Nearest primes: 20,639 (−1) · 20,641 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 43 · 48 · 60 · 80 · 86 · 96 · 120 · 129 · 160 · 172 · 215 · 240 · 258 · 344 · 430 · 480 · 516 · 645 · 688 · 860 · 1032 · 1290 · 1376 · 1720 · 2064 · 2580 · 3440 · 4128 · 5160 · 6880 · 10320 (half) · 20640
Aliquot sum (sum of proper divisors): 45,888
Factor pairs (a × b = 20,640)
1 × 20640
2 × 10320
3 × 6880
4 × 5160
5 × 4128
6 × 3440
8 × 2580
10 × 2064
12 × 1720
15 × 1376
16 × 1290
20 × 1032
24 × 860
30 × 688
32 × 645
40 × 516
43 × 480
48 × 430
60 × 344
80 × 258
86 × 240
96 × 215
120 × 172
129 × 160
First multiples
20,640 · 41,280 (double) · 61,920 · 82,560 · 103,200 · 123,840 · 144,480 · 165,120 · 185,760 · 206,400

Sums & aliquot sequence

As consecutive integers: 6,879 + 6,880 + 6,881 4,126 + 4,127 + 4,128 + 4,129 + 4,130 1,369 + 1,370 + … + 1,383 459 + 460 + … + 501
Aliquot sequence: 20,640 45,888 76,032 169,248 296,448 497,400 1,046,400 2,431,800 6,950,040 13,900,440 27,801,240 55,602,840 116,598,120 233,196,600 656,746,440 1,617,543,480 4,156,603,080 — unresolved within range

Representations

In words
twenty thousand six hundred forty
Ordinal
20640th
Binary
101000010100000
Octal
50240
Hexadecimal
0x50A0
Base64
UKA=
One's complement
44,895 (16-bit)
In other bases
ternary (3) 1001022110
quaternary (4) 11002200
quinary (5) 1130030
senary (6) 235320
septenary (7) 114114
nonary (9) 31273
undecimal (11) 14564
duodecimal (12) bb40
tridecimal (13) 9519
tetradecimal (14) 7744
pentadecimal (15) 61b0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵κχμʹ
Mayan (base 20)
𝋢·𝋫·𝋬·𝋠
Chinese
二萬零六百四十
Chinese (financial)
貳萬零陸佰肆拾
In other modern scripts
Eastern Arabic ٢٠٦٤٠ Devanagari २०६४० Bengali ২০৬৪০ Tamil ௨௦௬௪௦ Thai ๒๐๖๔๐ Tibetan ༢༠༦༤༠ Khmer ២០៦៤០ Lao ໒໐໖໔໐ Burmese ၂၀၆၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 20,640 = 6
e — Euler's number (e)
Digit 20,640 = 5
φ — Golden ratio (φ)
Digit 20,640 = 0
√2 — Pythagoras's (√2)
Digit 20,640 = 9
ln 2 — Natural log of 2
Digit 20,640 = 2
γ — Euler-Mascheroni (γ)
Digit 20,640 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20640, here are decompositions:

  • 13 + 20627 = 20640
  • 29 + 20611 = 20640
  • 41 + 20599 = 20640
  • 47 + 20593 = 20640
  • 89 + 20551 = 20640
  • 97 + 20543 = 20640
  • 107 + 20533 = 20640
  • 131 + 20509 = 20640

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-50A0
U+50A0
Other letter (Lo)

UTF-8 encoding: E5 82 A0 (3 bytes).

Hex color
#0050A0
RGB(0, 80, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.80.160.

Address
0.0.80.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.80.160

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000020640
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 20640 first appears in π at position 154,813 of the decimal expansion (the 154,813ordinal-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.