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20,864

20,864 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 Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
46,802
Recamán's sequence
a(42,111) = 20,864
Square (n²)
435,306,496
Cube (n³)
9,082,234,732,544
Divisor count
16
σ(n) — sum of divisors
41,820
φ(n) — Euler's totient
10,368
Sum of prime factors
177

Primality

Prime factorization: 2 7 × 163

Nearest primes: 20,857 (−7) · 20,873 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 163 · 326 · 652 · 1304 · 2608 · 5216 · 10432 (half) · 20864
Aliquot sum (sum of proper divisors): 20,956
Factor pairs (a × b = 20,864)
1 × 20864
2 × 10432
4 × 5216
8 × 2608
16 × 1304
32 × 652
64 × 326
128 × 163
First multiples
20,864 · 41,728 (double) · 62,592 · 83,456 · 104,320 · 125,184 · 146,048 · 166,912 · 187,776 · 208,640

Sums & aliquot sequence

As consecutive integers: 47 + 48 + … + 209
Aliquot sequence: 20,864 20,956 20,036 15,034 7,520 10,624 10,796 8,104 7,106 5,854 2,930 2,362 1,184 1,210 1,184 — enters a cycle

Representations

In words
twenty thousand eight hundred sixty-four
Ordinal
20864th
Binary
101000110000000
Octal
50600
Hexadecimal
0x5180
Base64
UYA=
One's complement
44,671 (16-bit)
In other bases
ternary (3) 1001121202
quaternary (4) 11012000
quinary (5) 1131424
senary (6) 240332
septenary (7) 114554
nonary (9) 31552
undecimal (11) 14748
duodecimal (12) 100a8
tridecimal (13) 965c
tetradecimal (14) 7864
pentadecimal (15) 62ae

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κωξδʹ
Mayan (base 20)
𝋢·𝋬·𝋣·𝋤
Chinese
二萬零八百六十四
Chinese (financial)
貳萬零捌佰陸拾肆
In other modern scripts
Eastern Arabic ٢٠٨٦٤ Devanagari २०८६४ Bengali ২০৮৬৪ Tamil ௨௦௮௬௪ Thai ๒๐๘๖๔ Tibetan ༢༠༨༦༤ Khmer ២០៨៦៤ Lao ໒໐໘໖໔ Burmese ၂၀၈၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 20,864 = 0
e — Euler's number (e)
Digit 20,864 = 1
φ — Golden ratio (φ)
Digit 20,864 = 5
√2 — Pythagoras's (√2)
Digit 20,864 = 9
ln 2 — Natural log of 2
Digit 20,864 = 2
γ — Euler-Mascheroni (γ)
Digit 20,864 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20864, here are decompositions:

  • 7 + 20857 = 20864
  • 157 + 20707 = 20864
  • 223 + 20641 = 20864
  • 271 + 20593 = 20864
  • 313 + 20551 = 20864
  • 331 + 20533 = 20864
  • 421 + 20443 = 20864
  • 433 + 20431 = 20864

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5180
U+5180
Other letter (Lo)

UTF-8 encoding: E5 86 80 (3 bytes).

Hex color
#005180
RGB(0, 81, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.81.128.

Address
0.0.81.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.81.128

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

Position in π

The digit sequence 20864 first appears in π at position 127,418 of the decimal expansion (the 127,418ordinal-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.