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13,020

13,020 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 Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
2,031
Recamán's sequence
a(48,235) = 13,020
Square (n²)
169,520,400
Cube (n³)
2,207,155,608,000
Divisor count
48
σ(n) — sum of divisors
43,008
φ(n) — Euler's totient
2,880
Sum of prime factors
50

Primality

Prime factorization: 2 2 × 3 × 5 × 7 × 31

Nearest primes: 13,009 (−11) · 13,033 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 20 · 21 · 28 · 30 · 31 · 35 · 42 · 60 · 62 · 70 · 84 · 93 · 105 · 124 · 140 · 155 · 186 · 210 · 217 · 310 · 372 · 420 · 434 · 465 · 620 · 651 · 868 · 930 · 1085 · 1302 · 1860 · 2170 · 2604 · 3255 · 4340 · 6510 (half) · 13020
Aliquot sum (sum of proper divisors): 29,988
Factor pairs (a × b = 13,020)
1 × 13020
2 × 6510
3 × 4340
4 × 3255
5 × 2604
6 × 2170
7 × 1860
10 × 1302
12 × 1085
14 × 930
15 × 868
20 × 651
21 × 620
28 × 465
30 × 434
31 × 420
35 × 372
42 × 310
60 × 217
62 × 210
70 × 186
84 × 155
93 × 140
105 × 124
First multiples
13,020 · 26,040 (double) · 39,060 · 52,080 · 65,100 · 78,120 · 91,140 · 104,160 · 117,180 · 130,200

Sums & aliquot sequence

As consecutive integers: 4,339 + 4,340 + 4,341 2,602 + 2,603 + 2,604 + 2,605 + 2,606 1,857 + 1,858 + … + 1,863 1,624 + 1,625 + … + 1,631
Aliquot sequence: 13,020 29,988 63,378 93,870 186,930 322,254 376,002 547,470 1,249,650 2,108,952 3,942,288 8,670,000 21,061,108 15,795,838 7,915,850 7,285,558 5,607,626 — unresolved within range

Representations

In words
thirteen thousand twenty
Ordinal
13020th
Binary
11001011011100
Octal
31334
Hexadecimal
0x32DC
Base64
Mtw=
One's complement
52,515 (16-bit)
In other bases
ternary (3) 122212020
quaternary (4) 3023130
quinary (5) 404040
senary (6) 140140
septenary (7) 52650
nonary (9) 18766
undecimal (11) 9867
duodecimal (12) 7650
tridecimal (13) 5c07
tetradecimal (14) 4a60
pentadecimal (15) 3cd0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆
Greek (Milesian)
͵ιγκʹ
Mayan (base 20)
𝋡·𝋬·𝋫·𝋠
Chinese
一萬三千零二十
Chinese (financial)
壹萬參仟零貳拾
In other modern scripts
Eastern Arabic ١٣٠٢٠ Devanagari १३०२० Bengali ১৩০২০ Tamil ௧௩௦௨௦ Thai ๑๓๐๒๐ Tibetan ༡༣༠༢༠ Khmer ១៣០២០ Lao ໑໓໐໒໐ Burmese ၁၃၀၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,020 = 9
e — Euler's number (e)
Digit 13,020 = 6
φ — Golden ratio (φ)
Digit 13,020 = 6
√2 — Pythagoras's (√2)
Digit 13,020 = 9
ln 2 — Natural log of 2
Digit 13,020 = 0
γ — Euler-Mascheroni (γ)
Digit 13,020 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13020, here are decompositions:

  • 11 + 13009 = 13020
  • 13 + 13007 = 13020
  • 17 + 13003 = 13020
  • 19 + 13001 = 13020
  • 37 + 12983 = 13020
  • 41 + 12979 = 13020
  • 47 + 12973 = 13020
  • 53 + 12967 = 13020

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Katakana Su
U+32DC
Other symbol (So)

UTF-8 encoding: E3 8B 9C (3 bytes).

Hex color
#0032DC
RGB(0, 50, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.220.

Address
0.0.50.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.220

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

Position in π

The digit sequence 13020 first appears in π at position 3,828 of the decimal expansion (the 3,828ordinal-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.