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13,140

13,140 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 Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
4,131
Recamán's sequence
a(47,995) = 13,140
Square (n²)
172,659,600
Cube (n³)
2,268,747,144,000
Divisor count
36
σ(n) — sum of divisors
40,404
φ(n) — Euler's totient
3,456
Sum of prime factors
88

Primality

Prime factorization: 2 2 × 3 2 × 5 × 73

Nearest primes: 13,127 (−13) · 13,147 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 73 · 90 · 146 · 180 · 219 · 292 · 365 · 438 · 657 · 730 · 876 · 1095 · 1314 · 1460 · 2190 · 2628 · 3285 · 4380 · 6570 (half) · 13140
Aliquot sum (sum of proper divisors): 27,264
Factor pairs (a × b = 13,140)
1 × 13140
2 × 6570
3 × 4380
4 × 3285
5 × 2628
6 × 2190
9 × 1460
10 × 1314
12 × 1095
15 × 876
18 × 730
20 × 657
30 × 438
36 × 365
45 × 292
60 × 219
73 × 180
90 × 146
First multiples
13,140 · 26,280 (double) · 39,420 · 52,560 · 65,700 · 78,840 · 91,980 · 105,120 · 118,260 · 131,400

Sums & aliquot sequence

As a sum of two squares: 12² + 114² = 78² + 84²
As consecutive integers: 4,379 + 4,380 + 4,381 2,626 + 2,627 + 2,628 + 2,629 + 2,630 1,639 + 1,640 + … + 1,646 1,456 + 1,457 + … + 1,464
Aliquot sequence: 13,140 27,264 46,176 87,888 139,280 184,732 138,556 135,620 149,224 143,096 134,344 153,656 134,464 158,144 201,520 311,840 425,260 — unresolved within range

Representations

In words
thirteen thousand one hundred forty
Ordinal
13140th
Binary
11001101010100
Octal
31524
Hexadecimal
0x3354
Base64
M1Q=
One's complement
52,395 (16-bit)
In other bases
ternary (3) 200000200
quaternary (4) 3031110
quinary (5) 410030
senary (6) 140500
septenary (7) 53211
nonary (9) 20020
undecimal (11) 9966
duodecimal (12) 7730
tridecimal (13) 5c9a
tetradecimal (14) 4b08
pentadecimal (15) 3d60

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγρμʹ
Mayan (base 20)
𝋡·𝋬·𝋱·𝋠
Chinese
一萬三千一百四十
Chinese (financial)
壹萬參仟壹佰肆拾
In other modern scripts
Eastern Arabic ١٣١٤٠ Devanagari १३१४० Bengali ১৩১৪০ Tamil ௧௩௧௪௦ Thai ๑๓๑๔๐ Tibetan ༡༣༡༤༠ Khmer ១៣១៤០ Lao ໑໓໑໔໐ Burmese ၁၃၁၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,140 = 3
e — Euler's number (e)
Digit 13,140 = 4
φ — Golden ratio (φ)
Digit 13,140 = 8
√2 — Pythagoras's (√2)
Digit 13,140 = 6
ln 2 — Natural log of 2
Digit 13,140 = 1
γ — Euler-Mascheroni (γ)
Digit 13,140 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13140, here are decompositions:

  • 13 + 13127 = 13140
  • 19 + 13121 = 13140
  • 31 + 13109 = 13140
  • 37 + 13103 = 13140
  • 41 + 13099 = 13140
  • 47 + 13093 = 13140
  • 97 + 13043 = 13140
  • 103 + 13037 = 13140

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Ruuburu
U+3354
Other symbol (So)

UTF-8 encoding: E3 8D 94 (3 bytes).

Hex color
#003354
RGB(0, 51, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.84.

Address
0.0.51.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.84

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

Position in π

The digit sequence 13140 first appears in π at position 4,245 of the decimal expansion (the 4,245ordinal-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.