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20,080

20,080 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 Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
8,002
Square (n²)
403,206,400
Cube (n³)
8,096,384,512,000
Divisor count
20
σ(n) — sum of divisors
46,872
φ(n) — Euler's totient
8,000
Sum of prime factors
264

Primality

Prime factorization: 2 4 × 5 × 251

Nearest primes: 20,071 (−9) · 20,089 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 251 · 502 · 1004 · 1255 · 2008 · 2510 · 4016 · 5020 · 10040 (half) · 20080
Aliquot sum (sum of proper divisors): 26,792
Factor pairs (a × b = 20,080)
1 × 20080
2 × 10040
4 × 5020
5 × 4016
8 × 2510
10 × 2008
16 × 1255
20 × 1004
40 × 502
80 × 251
First multiples
20,080 · 40,160 (double) · 60,240 · 80,320 · 100,400 · 120,480 · 140,560 · 160,640 · 180,720 · 200,800

Sums & aliquot sequence

As consecutive integers: 4,014 + 4,015 + 4,016 + 4,017 + 4,018 612 + 613 + … + 643 46 + 47 + … + 205
Aliquot sequence: 20,080 26,792 26,668 21,212 15,916 13,316 9,994 5,846 3,274 1,640 2,140 2,396 1,804 1,724 1,300 1,738 1,142 — unresolved within range

Representations

In words
twenty thousand eighty
Ordinal
20080th
Binary
100111001110000
Octal
47160
Hexadecimal
0x4E70
Base64
TnA=
One's complement
45,455 (16-bit)
In other bases
ternary (3) 1000112201
quaternary (4) 10321300
quinary (5) 1120310
senary (6) 232544
septenary (7) 112354
nonary (9) 30481
undecimal (11) 140a5
duodecimal (12) b754
tridecimal (13) 91a8
tetradecimal (14) 7464
pentadecimal (15) 5e3a

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵κπʹ
Mayan (base 20)
𝋢·𝋪·𝋤·𝋠
Chinese
二萬零八十
Chinese (financial)
貳萬零捌拾
In other modern scripts
Eastern Arabic ٢٠٠٨٠ Devanagari २००८० Bengali ২০০৮০ Tamil ௨௦௦௮௦ Thai ๒๐๐๘๐ Tibetan ༢༠༠༨༠ Khmer ២០០៨០ Lao ໒໐໐໘໐ Burmese ၂၀၀၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 20,080 = 4
e — Euler's number (e)
Digit 20,080 = 6
φ — Golden ratio (φ)
Digit 20,080 = 3
√2 — Pythagoras's (√2)
Digit 20,080 = 4
ln 2 — Natural log of 2
Digit 20,080 = 1
γ — Euler-Mascheroni (γ)
Digit 20,080 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20080, here are decompositions:

  • 17 + 20063 = 20080
  • 29 + 20051 = 20080
  • 59 + 20021 = 20080
  • 83 + 19997 = 20080
  • 89 + 19991 = 20080
  • 101 + 19979 = 20080
  • 107 + 19973 = 20080
  • 131 + 19949 = 20080

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4E70
U+4E70
Other letter (Lo)

UTF-8 encoding: E4 B9 B0 (3 bytes).

Hex color
#004E70
RGB(0, 78, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.112.

Address
0.0.78.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.112

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
000020080
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 20080 first appears in π at position 11,651 of the decimal expansion (the 11,651ordinal-suffix:st 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.