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13,920

13,920 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 Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
2,931
Recamán's sequence
a(20,876) = 13,920
Square (n²)
193,766,400
Cube (n³)
2,697,228,288,000
Divisor count
48
σ(n) — sum of divisors
45,360
φ(n) — Euler's totient
3,584
Sum of prime factors
47

Primality

Prime factorization: 2 5 × 3 × 5 × 29

Nearest primes: 13,913 (−7) · 13,921 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 29 · 30 · 32 · 40 · 48 · 58 · 60 · 80 · 87 · 96 · 116 · 120 · 145 · 160 · 174 · 232 · 240 · 290 · 348 · 435 · 464 · 480 · 580 · 696 · 870 · 928 · 1160 · 1392 · 1740 · 2320 · 2784 · 3480 · 4640 · 6960 (half) · 13920
Aliquot sum (sum of proper divisors): 31,440
Factor pairs (a × b = 13,920)
1 × 13920
2 × 6960
3 × 4640
4 × 3480
5 × 2784
6 × 2320
8 × 1740
10 × 1392
12 × 1160
15 × 928
16 × 870
20 × 696
24 × 580
29 × 480
30 × 464
32 × 435
40 × 348
48 × 290
58 × 240
60 × 232
80 × 174
87 × 160
96 × 145
116 × 120
First multiples
13,920 · 27,840 (double) · 41,760 · 55,680 · 69,600 · 83,520 · 97,440 · 111,360 · 125,280 · 139,200

Sums & aliquot sequence

As consecutive integers: 4,639 + 4,640 + 4,641 2,782 + 2,783 + 2,784 + 2,785 + 2,786 921 + 922 + … + 935 466 + 467 + … + 494
Aliquot sequence: 13,920 31,440 66,768 120,720 254,256 402,696 945,144 1,614,816 3,873,744 9,382,290 13,135,278 15,766,098 16,301,262 16,352,898 17,432,958 18,175,362 22,682,238 — unresolved within range

Representations

In words
thirteen thousand nine hundred twenty
Ordinal
13920th
Binary
11011001100000
Octal
33140
Hexadecimal
0x3660
Base64
NmA=
One's complement
51,615 (16-bit)
In other bases
ternary (3) 201002120
quaternary (4) 3121200
quinary (5) 421140
senary (6) 144240
septenary (7) 55404
nonary (9) 21076
undecimal (11) a505
duodecimal (12) 8080
tridecimal (13) 644a
tetradecimal (14) 5104
pentadecimal (15) 41d0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ιγϡκʹ
Mayan (base 20)
𝋡·𝋮·𝋰·𝋠
Chinese
一萬三千九百二十
Chinese (financial)
壹萬參仟玖佰貳拾
In other modern scripts
Eastern Arabic ١٣٩٢٠ Devanagari १३९२० Bengali ১৩৯২০ Tamil ௧௩௯௨௦ Thai ๑๓๙๒๐ Tibetan ༡༣༩༢༠ Khmer ១៣៩២០ Lao ໑໓໙໒໐ Burmese ၁၃၉၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,920 = 8
e — Euler's number (e)
Digit 13,920 = 2
φ — Golden ratio (φ)
Digit 13,920 = 4
√2 — Pythagoras's (√2)
Digit 13,920 = 0
ln 2 — Natural log of 2
Digit 13,920 = 9
γ — Euler-Mascheroni (γ)
Digit 13,920 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13920, here are decompositions:

  • 7 + 13913 = 13920
  • 13 + 13907 = 13920
  • 17 + 13903 = 13920
  • 19 + 13901 = 13920
  • 37 + 13883 = 13920
  • 41 + 13879 = 13920
  • 43 + 13877 = 13920
  • 47 + 13873 = 13920

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3660
U+3660
Other letter (Lo)

UTF-8 encoding: E3 99 A0 (3 bytes).

Hex color
#003660
RGB(0, 54, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.96.

Address
0.0.54.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.96

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

Position in π

The digit sequence 13920 first appears in π at position 43,063 of the decimal expansion (the 43,063ordinal-suffix:rd 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.