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21,680

21,680 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 Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
8,612
Recamán's sequence
a(40,479) = 21,680
Square (n²)
470,022,400
Cube (n³)
10,190,085,632,000
Divisor count
20
σ(n) — sum of divisors
50,592
φ(n) — Euler's totient
8,640
Sum of prime factors
284

Primality

Prime factorization: 2 4 × 5 × 271

Nearest primes: 21,673 (−7) · 21,683 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 271 · 542 · 1084 · 1355 · 2168 · 2710 · 4336 · 5420 · 10840 (half) · 21680
Aliquot sum (sum of proper divisors): 28,912
Factor pairs (a × b = 21,680)
1 × 21680
2 × 10840
4 × 5420
5 × 4336
8 × 2710
10 × 2168
16 × 1355
20 × 1084
40 × 542
80 × 271
First multiples
21,680 · 43,360 (double) · 65,040 · 86,720 · 108,400 · 130,080 · 151,760 · 173,440 · 195,120 · 216,800

Sums & aliquot sequence

As consecutive integers: 4,334 + 4,335 + 4,336 + 4,337 + 4,338 662 + 663 + … + 693 56 + 57 + … + 215
Aliquot sequence: 21,680 28,912 31,848 47,832 71,808 148,512 359,520 946,848 1,895,712 4,539,360 12,180,336 23,781,648 44,267,568 76,111,632 139,130,668 104,348,008 92,030,552 — unresolved within range

Representations

In words
twenty-one thousand six hundred eighty
Ordinal
21680th
Binary
101010010110000
Octal
52260
Hexadecimal
0x54B0
Base64
VLA=
One's complement
43,855 (16-bit)
In other bases
ternary (3) 1002201222
quaternary (4) 11102300
quinary (5) 1143210
senary (6) 244212
septenary (7) 120131
nonary (9) 32658
undecimal (11) 1531a
duodecimal (12) 10668
tridecimal (13) 9b39
tetradecimal (14) 7c88
pentadecimal (15) 6655

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵καχπʹ
Mayan (base 20)
𝋢·𝋮·𝋤·𝋠
Chinese
二萬一千六百八十
Chinese (financial)
貳萬壹仟陸佰捌拾
In other modern scripts
Eastern Arabic ٢١٦٨٠ Devanagari २१६८० Bengali ২১৬৮০ Tamil ௨௧௬௮௦ Thai ๒๑๖๘๐ Tibetan ༢༡༦༨༠ Khmer ២១៦៨០ Lao ໒໑໖໘໐ Burmese ၂၁၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 21,680 = 7
e — Euler's number (e)
Digit 21,680 = 6
φ — Golden ratio (φ)
Digit 21,680 = 6
√2 — Pythagoras's (√2)
Digit 21,680 = 7
ln 2 — Natural log of 2
Digit 21,680 = 3
γ — Euler-Mascheroni (γ)
Digit 21,680 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21680, here are decompositions:

  • 7 + 21673 = 21680
  • 19 + 21661 = 21680
  • 31 + 21649 = 21680
  • 67 + 21613 = 21680
  • 79 + 21601 = 21680
  • 103 + 21577 = 21680
  • 151 + 21529 = 21680
  • 157 + 21523 = 21680

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-54B0
U+54B0
Other letter (Lo)

UTF-8 encoding: E5 92 B0 (3 bytes).

Hex color
#0054B0
RGB(0, 84, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.176.

Address
0.0.84.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.176

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

Position in π

The digit sequence 21680 first appears in π at position 185,770 of the decimal expansion (the 185,770ordinal-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.