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13,680

13,680 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 Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
8,631
Recamán's sequence
a(91,284) = 13,680
Square (n²)
187,142,400
Cube (n³)
2,560,108,032,000
Divisor count
60
σ(n) — sum of divisors
48,360
φ(n) — Euler's totient
3,456
Sum of prime factors
38

Primality

Prime factorization: 2 4 × 3 2 × 5 × 19

Nearest primes: 13,679 (−1) · 13,681 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 19 · 20 · 24 · 30 · 36 · 38 · 40 · 45 · 48 · 57 · 60 · 72 · 76 · 80 · 90 · 95 · 114 · 120 · 144 · 152 · 171 · 180 · 190 · 228 · 240 · 285 · 304 · 342 · 360 · 380 · 456 · 570 · 684 · 720 · 760 · 855 · 912 · 1140 · 1368 · 1520 · 1710 · 2280 · 2736 · 3420 · 4560 · 6840 (half) · 13680
Aliquot sum (sum of proper divisors): 34,680
Factor pairs (a × b = 13,680)
1 × 13680
2 × 6840
3 × 4560
4 × 3420
5 × 2736
6 × 2280
8 × 1710
9 × 1520
10 × 1368
12 × 1140
15 × 912
16 × 855
18 × 760
19 × 720
20 × 684
24 × 570
30 × 456
36 × 380
38 × 360
40 × 342
45 × 304
48 × 285
57 × 240
60 × 228
72 × 190
76 × 180
80 × 171
90 × 152
95 × 144
114 × 120
First multiples
13,680 · 27,360 (double) · 41,040 · 54,720 · 68,400 · 82,080 · 95,760 · 109,440 · 123,120 · 136,800

Sums & aliquot sequence

As consecutive integers: 4,559 + 4,560 + 4,561 2,734 + 2,735 + 2,736 + 2,737 + 2,738 1,516 + 1,517 + … + 1,524 905 + 906 + … + 919
Aliquot sequence: 13,680 34,680 75,840 168,000 465,984 871,326 1,016,586 1,186,056 2,497,944 4,205,256 7,951,224 11,926,896 18,884,376 40,364,424 68,956,086 73,228,362 73,228,374 — unresolved within range

Representations

In words
thirteen thousand six hundred eighty
Ordinal
13680th
Binary
11010101110000
Octal
32560
Hexadecimal
0x3570
Base64
NXA=
One's complement
51,855 (16-bit)
In other bases
ternary (3) 200202200
quaternary (4) 3111300
quinary (5) 414210
senary (6) 143200
septenary (7) 54612
nonary (9) 20680
undecimal (11) a307
duodecimal (12) 7b00
tridecimal (13) 62c4
tetradecimal (14) 4db2
pentadecimal (15) 40c0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγχπʹ
Mayan (base 20)
𝋡·𝋮·𝋤·𝋠
Chinese
一萬三千六百八十
Chinese (financial)
壹萬參仟陸佰捌拾
In other modern scripts
Eastern Arabic ١٣٦٨٠ Devanagari १३६८० Bengali ১৩৬৮০ Tamil ௧௩௬௮௦ Thai ๑๓๖๘๐ Tibetan ༡༣༦༨༠ Khmer ១៣៦៨០ Lao ໑໓໖໘໐ Burmese ၁၃၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,680 = 2
e — Euler's number (e)
Digit 13,680 = 8
φ — Golden ratio (φ)
Digit 13,680 = 3
√2 — Pythagoras's (√2)
Digit 13,680 = 1
ln 2 — Natural log of 2
Digit 13,680 = 2
γ — Euler-Mascheroni (γ)
Digit 13,680 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13680, here are decompositions:

  • 11 + 13669 = 13680
  • 31 + 13649 = 13680
  • 47 + 13633 = 13680
  • 53 + 13627 = 13680
  • 61 + 13619 = 13680
  • 67 + 13613 = 13680
  • 83 + 13597 = 13680
  • 89 + 13591 = 13680

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3570
U+3570
Other letter (Lo)

UTF-8 encoding: E3 95 B0 (3 bytes).

Hex color
#003570
RGB(0, 53, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.112.

Address
0.0.53.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.112

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

Position in π

The digit sequence 13680 first appears in π at position 64,750 of the decimal expansion (the 64,750ordinal-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.