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20,040

20,040 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 Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
4,002
Square (n²)
401,601,600
Cube (n³)
8,048,096,064,000
Divisor count
32
σ(n) — sum of divisors
60,480
φ(n) — Euler's totient
5,312
Sum of prime factors
181

Primality

Prime factorization: 2 3 × 3 × 5 × 167

Nearest primes: 20,029 (−11) · 20,047 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 167 · 334 · 501 · 668 · 835 · 1002 · 1336 · 1670 · 2004 · 2505 · 3340 · 4008 · 5010 · 6680 · 10020 (half) · 20040
Aliquot sum (sum of proper divisors): 40,440
Factor pairs (a × b = 20,040)
1 × 20040
2 × 10020
3 × 6680
4 × 5010
5 × 4008
6 × 3340
8 × 2505
10 × 2004
12 × 1670
15 × 1336
20 × 1002
24 × 835
30 × 668
40 × 501
60 × 334
120 × 167
First multiples
20,040 · 40,080 (double) · 60,120 · 80,160 · 100,200 · 120,240 · 140,280 · 160,320 · 180,360 · 200,400

Sums & aliquot sequence

As consecutive integers: 6,679 + 6,680 + 6,681 4,006 + 4,007 + 4,008 + 4,009 + 4,010 1,329 + 1,330 + … + 1,343 1,245 + 1,246 + … + 1,260
Aliquot sequence: 20,040 40,440 81,240 162,840 355,560 711,480 2,017,680 5,136,624 9,239,192 9,012,808 10,412,792 10,982,008 9,726,992 12,048,400 23,685,424 29,699,180 41,914,516 — unresolved within range

Representations

In words
twenty thousand forty
Ordinal
20040th
Binary
100111001001000
Octal
47110
Hexadecimal
0x4E48
Base64
Tkg=
One's complement
45,495 (16-bit)
In other bases
ternary (3) 1000111020
quaternary (4) 10321020
quinary (5) 1120130
senary (6) 232440
septenary (7) 112266
nonary (9) 30436
undecimal (11) 14069
duodecimal (12) b720
tridecimal (13) 9177
tetradecimal (14) 7436
pentadecimal (15) 5e10

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓎆𓎆𓎆𓎆
Greek (Milesian)
͵κμʹ
Mayan (base 20)
𝋢·𝋪·𝋢·𝋠
Chinese
二萬零四十
Chinese (financial)
貳萬零肆拾
In other modern scripts
Eastern Arabic ٢٠٠٤٠ Devanagari २००४० Bengali ২০০৪০ Tamil ௨௦௦௪௦ Thai ๒๐๐๔๐ Tibetan ༢༠༠༤༠ Khmer ២០០៤០ Lao ໒໐໐໔໐ Burmese ၂၀၀၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 20,040 = 3
e — Euler's number (e)
Digit 20,040 = 8
φ — Golden ratio (φ)
Digit 20,040 = 9
√2 — Pythagoras's (√2)
Digit 20,040 = 2
ln 2 — Natural log of 2
Digit 20,040 = 6
γ — Euler-Mascheroni (γ)
Digit 20,040 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20040, here are decompositions:

  • 11 + 20029 = 20040
  • 17 + 20023 = 20040
  • 19 + 20021 = 20040
  • 29 + 20011 = 20040
  • 43 + 19997 = 20040
  • 47 + 19993 = 20040
  • 61 + 19979 = 20040
  • 67 + 19973 = 20040

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4E48
U+4E48
Other letter (Lo)

UTF-8 encoding: E4 B9 88 (3 bytes).

Hex color
#004E48
RGB(0, 78, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.72.

Address
0.0.78.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.72

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

Position in π

The digit sequence 20040 first appears in π at position 133,319 of the decimal expansion (the 133,319ordinal-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.