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19,920

19,920 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 Odious Number Pernicious Number Practical Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
2,991
Square (n²)
396,806,400
Cube (n³)
7,904,383,488,000
Divisor count
40
σ(n) — sum of divisors
62,496
φ(n) — Euler's totient
5,248
Sum of prime factors
99

Primality

Prime factorization: 2 4 × 3 × 5 × 83

Nearest primes: 19,919 (−1) · 19,927 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 83 · 120 · 166 · 240 · 249 · 332 · 415 · 498 · 664 · 830 · 996 · 1245 · 1328 · 1660 · 1992 · 2490 · 3320 · 3984 · 4980 · 6640 · 9960 (half) · 19920
Aliquot sum (sum of proper divisors): 42,576
Factor pairs (a × b = 19,920)
1 × 19920
2 × 9960
3 × 6640
4 × 4980
5 × 3984
6 × 3320
8 × 2490
10 × 1992
12 × 1660
15 × 1328
16 × 1245
20 × 996
24 × 830
30 × 664
40 × 498
48 × 415
60 × 332
80 × 249
83 × 240
120 × 166
First multiples
19,920 · 39,840 (double) · 59,760 · 79,680 · 99,600 · 119,520 · 139,440 · 159,360 · 179,280 · 199,200

Sums & aliquot sequence

As consecutive integers: 6,639 + 6,640 + 6,641 3,982 + 3,983 + 3,984 + 3,985 + 3,986 1,321 + 1,322 + … + 1,335 607 + 608 + … + 638
Aliquot sequence: 19,920 42,576 67,536 151,696 158,304 286,224 472,656 782,224 733,366 366,686 183,346 91,676 89,428 69,612 92,844 141,936 224,856 — unresolved within range

Representations

In words
nineteen thousand nine hundred twenty
Ordinal
19920th
Binary
100110111010000
Octal
46720
Hexadecimal
0x4DD0
Base64
TdA=
One's complement
45,615 (16-bit)
In other bases
ternary (3) 1000022210
quaternary (4) 10313100
quinary (5) 1114140
senary (6) 232120
septenary (7) 112035
nonary (9) 30283
undecimal (11) 13a6a
duodecimal (12) b640
tridecimal (13) 90b4
tetradecimal (14) 738c
pentadecimal (15) 5d80

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ιθϡκʹ
Mayan (base 20)
𝋢·𝋩·𝋰·𝋠
Chinese
一萬九千九百二十
Chinese (financial)
壹萬玖仟玖佰貳拾
In other modern scripts
Eastern Arabic ١٩٩٢٠ Devanagari १९९२० Bengali ১৯৯২০ Tamil ௧௯௯௨௦ Thai ๑๙๙๒๐ Tibetan ༡༩༩༢༠ Khmer ១៩៩២០ Lao ໑໙໙໒໐ Burmese ၁၉၉၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 19,920 = 2
e — Euler's number (e)
Digit 19,920 = 0
φ — Golden ratio (φ)
Digit 19,920 = 2
√2 — Pythagoras's (√2)
Digit 19,920 = 7
ln 2 — Natural log of 2
Digit 19,920 = 6
γ — Euler-Mascheroni (γ)
Digit 19,920 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 19920, here are decompositions:

  • 7 + 19913 = 19920
  • 29 + 19891 = 19920
  • 31 + 19889 = 19920
  • 53 + 19867 = 19920
  • 59 + 19861 = 19920
  • 67 + 19853 = 19920
  • 79 + 19841 = 19920
  • 101 + 19819 = 19920

Showing the first eight; more decompositions exist.

Unicode codepoint
Hexagram For Following
U+4DD0
Other symbol (So)

UTF-8 encoding: E4 B7 90 (3 bytes).

Hex color
#004DD0
RGB(0, 77, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.77.208.

Address
0.0.77.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.77.208

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

Position in π

The digit sequence 19920 first appears in π at position 184,739 of the decimal expansion (the 184,739ordinal-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.