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18,720

18,720 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
2,781
Recamán's sequence
a(9,488) = 18,720
Square (n²)
350,438,400
Cube (n³)
6,560,206,848,000
Divisor count
72
σ(n) — sum of divisors
68,796
φ(n) — Euler's totient
4,608
Sum of prime factors
34

Primality

Prime factorization: 2 5 × 3 2 × 5 × 13

Nearest primes: 18,719 (−1) · 18,731 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 16 · 18 · 20 · 24 · 26 · 30 · 32 · 36 · 39 · 40 · 45 · 48 · 52 · 60 · 65 · 72 · 78 · 80 · 90 · 96 · 104 · 117 · 120 · 130 · 144 · 156 · 160 · 180 · 195 · 208 · 234 · 240 · 260 · 288 · 312 · 360 · 390 · 416 · 468 · 480 · 520 · 585 · 624 · 720 · 780 · 936 · 1040 · 1170 · 1248 · 1440 · 1560 · 1872 · 2080 · 2340 · 3120 · 3744 · 4680 · 6240 · 9360 (half) · 18720
Aliquot sum (sum of proper divisors): 50,076
Factor pairs (a × b = 18,720)
1 × 18720
2 × 9360
3 × 6240
4 × 4680
5 × 3744
6 × 3120
8 × 2340
9 × 2080
10 × 1872
12 × 1560
13 × 1440
15 × 1248
16 × 1170
18 × 1040
20 × 936
24 × 780
26 × 720
30 × 624
32 × 585
36 × 520
39 × 480
40 × 468
45 × 416
48 × 390
52 × 360
60 × 312
65 × 288
72 × 260
78 × 240
80 × 234
90 × 208
96 × 195
104 × 180
117 × 160
120 × 156
130 × 144
First multiples
18,720 · 37,440 (double) · 56,160 · 74,880 · 93,600 · 112,320 · 131,040 · 149,760 · 168,480 · 187,200

Sums & aliquot sequence

As a sum of two squares: 36² + 132² = 84² + 108²
As consecutive integers: 6,239 + 6,240 + 6,241 3,742 + 3,743 + 3,744 + 3,745 + 3,746 2,076 + 2,077 + … + 2,084 1,434 + 1,435 + … + 1,446
Aliquot sequence: 18,720 50,076 87,516 187,668 324,480 795,480 1,934,760 4,130,520 8,261,400 21,636,240 49,394,928 98,024,208 155,205,120 412,044,288 686,212,152 1,088,476,248 1,642,019,352 — unresolved within range

Representations

In words
eighteen thousand seven hundred twenty
Ordinal
18720th
Binary
100100100100000
Octal
44440
Hexadecimal
0x4920
Base64
SSA=
One's complement
46,815 (16-bit)
In other bases
ternary (3) 221200100
quaternary (4) 10210200
quinary (5) 1044340
senary (6) 222400
septenary (7) 105402
nonary (9) 27610
undecimal (11) 13079
duodecimal (12) aa00
tridecimal (13) 86a0
tetradecimal (14) 6b72
pentadecimal (15) 5830

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ιηψκʹ
Mayan (base 20)
𝋢·𝋦·𝋰·𝋠
Chinese
一萬八千七百二十
Chinese (financial)
壹萬捌仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٨٧٢٠ Devanagari १८७२० Bengali ১৮৭২০ Tamil ௧௮௭௨௦ Thai ๑๘๗๒๐ Tibetan ༡༨༧༢༠ Khmer ១៨៧២០ Lao ໑໘໗໒໐ Burmese ၁၈၇၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 18,720 = 5
e — Euler's number (e)
Digit 18,720 = 0
φ — Golden ratio (φ)
Digit 18,720 = 9
√2 — Pythagoras's (√2)
Digit 18,720 = 3
ln 2 — Natural log of 2
Digit 18,720 = 0
γ — Euler-Mascheroni (γ)
Digit 18,720 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 18720, here are decompositions:

  • 7 + 18713 = 18720
  • 19 + 18701 = 18720
  • 29 + 18691 = 18720
  • 41 + 18679 = 18720
  • 59 + 18661 = 18720
  • 83 + 18637 = 18720
  • 103 + 18617 = 18720
  • 127 + 18593 = 18720

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4920
U+4920
Other letter (Lo)

UTF-8 encoding: E4 A4 A0 (3 bytes).

Hex color
#004920
RGB(0, 73, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.73.32.

Address
0.0.73.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.73.32

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
000018720
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 18720 first appears in π at position 83,709 of the decimal expansion (the 83,709ordinal-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.