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13,640

13,640 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 Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
4,631
Recamán's sequence
a(4,052) = 13,640
Square (n²)
186,049,600
Cube (n³)
2,537,716,544,000
Divisor count
32
σ(n) — sum of divisors
34,560
φ(n) — Euler's totient
4,800
Sum of prime factors
53

Primality

Prime factorization: 2 3 × 5 × 11 × 31

Nearest primes: 13,633 (−7) · 13,649 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 31 · 40 · 44 · 55 · 62 · 88 · 110 · 124 · 155 · 220 · 248 · 310 · 341 · 440 · 620 · 682 · 1240 · 1364 · 1705 · 2728 · 3410 · 6820 (half) · 13640
Aliquot sum (sum of proper divisors): 20,920
Factor pairs (a × b = 13,640)
1 × 13640
2 × 6820
4 × 3410
5 × 2728
8 × 1705
10 × 1364
11 × 1240
20 × 682
22 × 620
31 × 440
40 × 341
44 × 310
55 × 248
62 × 220
88 × 155
110 × 124
First multiples
13,640 · 27,280 (double) · 40,920 · 54,560 · 68,200 · 81,840 · 95,480 · 109,120 · 122,760 · 136,400

Sums & aliquot sequence

As consecutive integers: 2,726 + 2,727 + 2,728 + 2,729 + 2,730 1,235 + 1,236 + … + 1,245 845 + 846 + … + 860 425 + 426 + … + 455
Aliquot sequence: 13,640 20,920 26,240 38,020 41,864 36,646 19,298 9,652 8,268 12,900 25,292 18,976 18,446 10,498 5,882 3,514 2,534 — unresolved within range

Representations

In words
thirteen thousand six hundred forty
Ordinal
13640th
Binary
11010101001000
Octal
32510
Hexadecimal
0x3548
Base64
NUg=
One's complement
51,895 (16-bit)
In other bases
ternary (3) 200201012
quaternary (4) 3111020
quinary (5) 414030
senary (6) 143052
septenary (7) 54524
nonary (9) 20635
undecimal (11) a280
duodecimal (12) 7a88
tridecimal (13) 6293
tetradecimal (14) 4d84
pentadecimal (15) 4095

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγχμʹ
Mayan (base 20)
𝋡·𝋮·𝋢·𝋠
Chinese
一萬三千六百四十
Chinese (financial)
壹萬參仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٣٦٤٠ Devanagari १३६४० Bengali ১৩৬৪০ Tamil ௧௩௬௪௦ Thai ๑๓๖๔๐ Tibetan ༡༣༦༤༠ Khmer ១៣៦៤០ Lao ໑໓໖໔໐ Burmese ၁၃၆၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,640 = 3
e — Euler's number (e)
Digit 13,640 = 7
φ — Golden ratio (φ)
Digit 13,640 = 5
√2 — Pythagoras's (√2)
Digit 13,640 = 1
ln 2 — Natural log of 2
Digit 13,640 = 5
γ — Euler-Mascheroni (γ)
Digit 13,640 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13640, here are decompositions:

  • 7 + 13633 = 13640
  • 13 + 13627 = 13640
  • 43 + 13597 = 13640
  • 73 + 13567 = 13640
  • 103 + 13537 = 13640
  • 127 + 13513 = 13640
  • 163 + 13477 = 13640
  • 199 + 13441 = 13640

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3548
U+3548
Other letter (Lo)

UTF-8 encoding: E3 95 88 (3 bytes).

Hex color
#003548
RGB(0, 53, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.72.

Address
0.0.53.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.72

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

Position in π

The digit sequence 13640 first appears in π at position 97,213 of the decimal expansion (the 97,213ordinal-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.