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20,064

20,064 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 Harshad / Niven Practical Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
46,002
Square (n²)
402,564,096
Cube (n³)
8,077,046,022,144
Divisor count
48
σ(n) — sum of divisors
60,480
φ(n) — Euler's totient
5,760
Sum of prime factors
43

Primality

Prime factorization: 2 5 × 3 × 11 × 19

Nearest primes: 20,063 (−1) · 20,071 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 19 · 22 · 24 · 32 · 33 · 38 · 44 · 48 · 57 · 66 · 76 · 88 · 96 · 114 · 132 · 152 · 176 · 209 · 228 · 264 · 304 · 352 · 418 · 456 · 528 · 608 · 627 · 836 · 912 · 1056 · 1254 · 1672 · 1824 · 2508 · 3344 · 5016 · 6688 · 10032 (half) · 20064
Aliquot sum (sum of proper divisors): 40,416
Factor pairs (a × b = 20,064)
1 × 20064
2 × 10032
3 × 6688
4 × 5016
6 × 3344
8 × 2508
11 × 1824
12 × 1672
16 × 1254
19 × 1056
22 × 912
24 × 836
32 × 627
33 × 608
38 × 528
44 × 456
48 × 418
57 × 352
66 × 304
76 × 264
88 × 228
96 × 209
114 × 176
132 × 152
First multiples
20,064 · 40,128 (double) · 60,192 · 80,256 · 100,320 · 120,384 · 140,448 · 160,512 · 180,576 · 200,640

Sums & aliquot sequence

As consecutive integers: 6,687 + 6,688 + 6,689 1,819 + 1,820 + … + 1,829 1,047 + 1,048 + … + 1,065 592 + 593 + … + 624
Aliquot sequence: 20,064 40,416 65,928 105,432 171,048 256,632 443,328 730,152 1,247,538 1,247,550 1,846,746 2,631,654 3,070,302 3,648,162 4,690,590 6,566,898 7,577,358 — unresolved within range

Representations

In words
twenty thousand sixty-four
Ordinal
20064th
Binary
100111001100000
Octal
47140
Hexadecimal
0x4E60
Base64
TmA=
One's complement
45,471 (16-bit)
In other bases
ternary (3) 1000112010
quaternary (4) 10321200
quinary (5) 1120224
senary (6) 232520
septenary (7) 112332
nonary (9) 30463
undecimal (11) 14090
duodecimal (12) b740
tridecimal (13) 9195
tetradecimal (14) 7452
pentadecimal (15) 5e29

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κξδʹ
Mayan (base 20)
𝋢·𝋪·𝋣·𝋤
Chinese
二萬零六十四
Chinese (financial)
貳萬零陸拾肆
In other modern scripts
Eastern Arabic ٢٠٠٦٤ Devanagari २००६४ Bengali ২০০৬৪ Tamil ௨௦௦௬௪ Thai ๒๐๐๖๔ Tibetan ༢༠༠༦༤ Khmer ២០០៦៤ Lao ໒໐໐໖໔ Burmese ၂၀၀၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 20,064 = 4
e — Euler's number (e)
Digit 20,064 = 4
φ — Golden ratio (φ)
Digit 20,064 = 3
√2 — Pythagoras's (√2)
Digit 20,064 = 3
ln 2 — Natural log of 2
Digit 20,064 = 5
γ — Euler-Mascheroni (γ)
Digit 20,064 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20064, here are decompositions:

  • 13 + 20051 = 20064
  • 17 + 20047 = 20064
  • 41 + 20023 = 20064
  • 43 + 20021 = 20064
  • 53 + 20011 = 20064
  • 67 + 19997 = 20064
  • 71 + 19993 = 20064
  • 73 + 19991 = 20064

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4E60
U+4E60
Other letter (Lo)

UTF-8 encoding: E4 B9 A0 (3 bytes).

Hex color
#004E60
RGB(0, 78, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.96.

Address
0.0.78.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.96

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
000020064
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 20064 first appears in π at position 139,269 of the decimal expansion (the 139,269ordinal-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.