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10,820

10,820 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 Odious Number Pernicious 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
2,801
Recamán's sequence
a(174,619) = 10,820
Square (n²)
117,072,400
Cube (n³)
1,266,723,368,000
Divisor count
12
σ(n) — sum of divisors
22,764
φ(n) — Euler's totient
4,320
Sum of prime factors
550

Primality

Prime factorization: 2 2 × 5 × 541

Nearest primes: 10,799 (−21) · 10,831 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 541 · 1082 · 2164 · 2705 · 5410 (half) · 10820
Aliquot sum (sum of proper divisors): 11,944
Factor pairs (a × b = 10,820)
1 × 10820
2 × 5410
4 × 2705
5 × 2164
10 × 1082
20 × 541
First multiples
10,820 · 21,640 (double) · 32,460 · 43,280 · 54,100 · 64,920 · 75,740 · 86,560 · 97,380 · 108,200

Sums & aliquot sequence

As a sum of two squares: 2² + 104² = 64² + 82²
As consecutive integers: 2,162 + 2,163 + 2,164 + 2,165 + 2,166 1,349 + 1,350 + … + 1,356 251 + 252 + … + 290
Aliquot sequence: 10,820 11,944 10,466 5,236 6,860 9,940 14,252 14,308 15,218 10,894 6,746 3,376 3,196 2,852 2,524 1,900 2,440 — unresolved within range

Representations

In words
ten thousand eight hundred twenty
Ordinal
10820th
Binary
10101001000100
Octal
25104
Hexadecimal
0x2A44
Base64
KkQ=
One's complement
54,715 (16-bit)
In other bases
ternary (3) 112211202
quaternary (4) 2221010
quinary (5) 321240
senary (6) 122032
septenary (7) 43355
nonary (9) 15752
undecimal (11) 8147
duodecimal (12) 6318
tridecimal (13) 4c04
tetradecimal (14) 3d2c
pentadecimal (15) 3315

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 · 𒌋𒌋
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ιωκʹ
Mayan (base 20)
𝋡·𝋧·𝋡·𝋠
Chinese
一萬零八百二十
Chinese (financial)
壹萬零捌佰貳拾
In other modern scripts
Eastern Arabic ١٠٨٢٠ Devanagari १०८२० Bengali ১০৮২০ Tamil ௧௦௮௨௦ Thai ๑๐๘๒๐ Tibetan ༡༠༨༢༠ Khmer ១០៨២០ Lao ໑໐໘໒໐ Burmese ၁၀၈၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 10,820 = 8
e — Euler's number (e)
Digit 10,820 = 3
φ — Golden ratio (φ)
Digit 10,820 = 6
√2 — Pythagoras's (√2)
Digit 10,820 = 7
ln 2 — Natural log of 2
Digit 10,820 = 8
γ — Euler-Mascheroni (γ)
Digit 10,820 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10820, here are decompositions:

  • 31 + 10789 = 10820
  • 67 + 10753 = 10820
  • 97 + 10723 = 10820
  • 109 + 10711 = 10820
  • 157 + 10663 = 10820
  • 163 + 10657 = 10820
  • 181 + 10639 = 10820
  • 193 + 10627 = 10820

Showing the first eight; more decompositions exist.

Unicode codepoint
Intersection With Logical And
U+2A44
Math symbol (Sm)

UTF-8 encoding: E2 A9 84 (3 bytes).

Hex color
#002A44
RGB(0, 42, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.68.

Address
0.0.42.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.68

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

Position in π

The digit sequence 10820 first appears in π at position 447,942 of the decimal expansion (the 447,942ordinal-suffix:nd 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.