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10,180

10,180 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 Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
8,101
Flips to (rotate 180°)
8,101
Recamán's sequence
a(5,619) = 10,180
Square (n²)
103,632,400
Cube (n³)
1,054,977,832,000
Divisor count
12
σ(n) — sum of divisors
21,420
φ(n) — Euler's totient
4,064
Sum of prime factors
518

Primality

Prime factorization: 2 2 × 5 × 509

Nearest primes: 10,177 (−3) · 10,181 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 509 · 1018 · 2036 · 2545 · 5090 (half) · 10180
Aliquot sum (sum of proper divisors): 11,240
Factor pairs (a × b = 10,180)
1 × 10180
2 × 5090
4 × 2545
5 × 2036
10 × 1018
20 × 509
First multiples
10,180 · 20,360 (double) · 30,540 · 40,720 · 50,900 · 61,080 · 71,260 · 81,440 · 91,620 · 101,800

Sums & aliquot sequence

As a sum of two squares: 24² + 98² = 64² + 78²
As consecutive integers: 2,034 + 2,035 + 2,036 + 2,037 + 2,038 1,269 + 1,270 + … + 1,276 235 + 236 + … + 274
Aliquot sequence: 10,180 11,240 14,140 20,132 20,188 21,308 21,364 22,526 16,114 11,534 6,226 3,998 2,002 2,030 2,290 1,850 1,684 — unresolved within range

Representations

In words
ten thousand one hundred eighty
Ordinal
10180th
Binary
10011111000100
Octal
23704
Hexadecimal
0x27C4
Base64
J8Q=
One's complement
55,355 (16-bit)
In other bases
ternary (3) 111222001
quaternary (4) 2133010
quinary (5) 311210
senary (6) 115044
septenary (7) 41452
nonary (9) 14861
undecimal (11) 7715
duodecimal (12) 5a84
tridecimal (13) 4831
tetradecimal (14) 39d2
pentadecimal (15) 303a

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιρπʹ
Mayan (base 20)
𝋡·𝋥·𝋩·𝋠
Chinese
一萬零一百八十
Chinese (financial)
壹萬零壹佰捌拾
In other modern scripts
Eastern Arabic ١٠١٨٠ Devanagari १०१८० Bengali ১০১৮০ Tamil ௧௦௧௮௦ Thai ๑๐๑๘๐ Tibetan ༡༠༡༨༠ Khmer ១០១៨០ Lao ໑໐໑໘໐ Burmese ၁၀၁၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 10,180 = 4
e — Euler's number (e)
Digit 10,180 = 8
φ — Golden ratio (φ)
Digit 10,180 = 4
√2 — Pythagoras's (√2)
Digit 10,180 = 4
ln 2 — Natural log of 2
Digit 10,180 = 7
γ — Euler-Mascheroni (γ)
Digit 10,180 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10180, here are decompositions:

  • 3 + 10177 = 10180
  • 11 + 10169 = 10180
  • 17 + 10163 = 10180
  • 29 + 10151 = 10180
  • 41 + 10139 = 10180
  • 47 + 10133 = 10180
  • 89 + 10091 = 10180
  • 101 + 10079 = 10180

Showing the first eight; more decompositions exist.

Unicode codepoint
Open Superset
U+27C4
Math symbol (Sm)

UTF-8 encoding: E2 9F 84 (3 bytes).

Hex color
#0027C4
RGB(0, 39, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.196.

Address
0.0.39.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.196

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

Position in π

The digit sequence 10180 first appears in π at position 160,959 of the decimal expansion (the 160,959ordinal-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.