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13,520

13,520 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 Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
2,531
Recamán's sequence
a(47,235) = 13,520
Square (n²)
182,790,400
Cube (n³)
2,471,326,208,000
Divisor count
30
σ(n) — sum of divisors
34,038
φ(n) — Euler's totient
4,992
Sum of prime factors
39

Primality

Prime factorization: 2 4 × 5 × 13 2

Nearest primes: 13,513 (−7) · 13,523 (+3)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 40 · 52 · 65 · 80 · 104 · 130 · 169 · 208 · 260 · 338 · 520 · 676 · 845 · 1040 · 1352 · 1690 · 2704 · 3380 · 6760 (half) · 13520
Aliquot sum (sum of proper divisors): 20,518
Factor pairs (a × b = 13,520)
1 × 13520
2 × 6760
4 × 3380
5 × 2704
8 × 1690
10 × 1352
13 × 1040
16 × 845
20 × 676
26 × 520
40 × 338
52 × 260
65 × 208
80 × 169
104 × 130
First multiples
13,520 · 27,040 (double) · 40,560 · 54,080 · 67,600 · 81,120 · 94,640 · 108,160 · 121,680 · 135,200

Sums & aliquot sequence

As a sum of two squares: 8² + 116² = 52² + 104² = 76² + 88²
As consecutive integers: 2,702 + 2,703 + 2,704 + 2,705 + 2,706 1,034 + 1,035 + … + 1,046 407 + 408 + … + 438 176 + 177 + … + 240
Aliquot sequence: 13,520 20,518 10,262 7,354 3,680 5,392 5,086 2,546 1,534 986 634 320 442 314 160 218 112 — unresolved within range

Representations

In words
thirteen thousand five hundred twenty
Ordinal
13520th
Binary
11010011010000
Octal
32320
Hexadecimal
0x34D0
Base64
NNA=
One's complement
52,015 (16-bit)
In other bases
ternary (3) 200112202
quaternary (4) 3103100
quinary (5) 413040
senary (6) 142332
septenary (7) 54263
nonary (9) 20482
undecimal (11) a181
duodecimal (12) 79a8
tridecimal (13) 6200
tetradecimal (14) 4cda
pentadecimal (15) 4015

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ιγφκʹ
Mayan (base 20)
𝋡·𝋭·𝋰·𝋠
Chinese
一萬三千五百二十
Chinese (financial)
壹萬參仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٣٥٢٠ Devanagari १३५२० Bengali ১৩৫২০ Tamil ௧௩௫௨௦ Thai ๑๓๕๒๐ Tibetan ༡༣༥༢༠ Khmer ១៣៥២០ Lao ໑໓໕໒໐ Burmese ၁၃၅၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,520 = 8
e — Euler's number (e)
Digit 13,520 = 4
φ — Golden ratio (φ)
Digit 13,520 = 4
√2 — Pythagoras's (√2)
Digit 13,520 = 0
ln 2 — Natural log of 2
Digit 13,520 = 0
γ — Euler-Mascheroni (γ)
Digit 13,520 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13520, here are decompositions:

  • 7 + 13513 = 13520
  • 43 + 13477 = 13520
  • 79 + 13441 = 13520
  • 103 + 13417 = 13520
  • 109 + 13411 = 13520
  • 139 + 13381 = 13520
  • 181 + 13339 = 13520
  • 193 + 13327 = 13520

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-34D0
U+34D0
Other letter (Lo)

UTF-8 encoding: E3 93 90 (3 bytes).

Hex color
#0034D0
RGB(0, 52, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.208.

Address
0.0.52.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.208

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

Position in π

The digit sequence 13520 first appears in π at position 82,954 of the decimal expansion (the 82,954ordinal-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.