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21,380

21,380 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 Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
8,312
Recamán's sequence
a(41,079) = 21,380
Square (n²)
457,104,400
Cube (n³)
9,772,892,072,000
Divisor count
12
σ(n) — sum of divisors
44,940
φ(n) — Euler's totient
8,544
Sum of prime factors
1,078

Primality

Prime factorization: 2 2 × 5 × 1069

Nearest primes: 21,379 (−1) · 21,383 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 1069 · 2138 · 4276 · 5345 · 10690 (half) · 21380
Aliquot sum (sum of proper divisors): 23,560
Factor pairs (a × b = 21,380)
1 × 21380
2 × 10690
4 × 5345
5 × 4276
10 × 2138
20 × 1069
First multiples
21,380 · 42,760 (double) · 64,140 · 85,520 · 106,900 · 128,280 · 149,660 · 171,040 · 192,420 · 213,800

Sums & aliquot sequence

As a sum of two squares: 8² + 146² = 94² + 112²
As consecutive integers: 4,274 + 4,275 + 4,276 + 4,277 + 4,278 2,669 + 2,670 + … + 2,676 515 + 516 + … + 554
Aliquot sequence: 21,380 23,560 34,040 48,040 60,140 71,572 58,208 64,264 60,836 47,692 35,776 42,456 69,144 110,376 244,824 373,356 594,884 — unresolved within range

Representations

In words
twenty-one thousand three hundred eighty
Ordinal
21380th
Binary
101001110000100
Octal
51604
Hexadecimal
0x5384
Base64
U4Q=
One's complement
44,155 (16-bit)
In other bases
ternary (3) 1002022212
quaternary (4) 11032010
quinary (5) 1141010
senary (6) 242552
septenary (7) 116222
nonary (9) 32285
undecimal (11) 15077
duodecimal (12) 10458
tridecimal (13) 9968
tetradecimal (14) 7b12
pentadecimal (15) 6505

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵κατπʹ
Mayan (base 20)
𝋢·𝋭·𝋩·𝋠
Chinese
二萬一千三百八十
Chinese (financial)
貳萬壹仟參佰捌拾
In other modern scripts
Eastern Arabic ٢١٣٨٠ Devanagari २१३८० Bengali ২১৩৮০ Tamil ௨௧௩௮௦ Thai ๒๑๓๘๐ Tibetan ༢༡༣༨༠ Khmer ២១៣៨០ Lao ໒໑໓໘໐ Burmese ၂၁၃၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 21,380 = 0
e — Euler's number (e)
Digit 21,380 = 6
φ — Golden ratio (φ)
Digit 21,380 = 9
√2 — Pythagoras's (√2)
Digit 21,380 = 7
ln 2 — Natural log of 2
Digit 21,380 = 4
γ — Euler-Mascheroni (γ)
Digit 21,380 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21380, here are decompositions:

  • 3 + 21377 = 21380
  • 61 + 21319 = 21380
  • 67 + 21313 = 21380
  • 97 + 21283 = 21380
  • 103 + 21277 = 21380
  • 193 + 21187 = 21380
  • 211 + 21169 = 21380
  • 223 + 21157 = 21380

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5384
U+5384
Other letter (Lo)

UTF-8 encoding: E5 8E 84 (3 bytes).

Hex color
#005384
RGB(0, 83, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.132.

Address
0.0.83.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.132

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000021380
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 21380 first appears in π at position 55,471 of the decimal expansion (the 55,471ordinal-suffix:st 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.