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20,664

20,664 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.).

20,664 (twenty thousand six hundred sixty-four) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 7 × 41. Its proper divisors sum to 44,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x50B8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
46,602
Recamán's sequence
a(42,511) = 20,664
Square (n²)
427,000,896
Cube (n³)
8,823,546,514,944
Divisor count
48
σ(n) — sum of divisors
65,520
φ(n) — Euler's totient
5,760
Sum of prime factors
60

Primality

Prime factorization: 2 3 × 3 2 × 7 × 41

Nearest primes: 20,663 (−1) · 20,681 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 28 · 36 · 41 · 42 · 56 · 63 · 72 · 82 · 84 · 123 · 126 · 164 · 168 · 246 · 252 · 287 · 328 · 369 · 492 · 504 · 574 · 738 · 861 · 984 · 1148 · 1476 · 1722 · 2296 · 2583 · 2952 · 3444 · 5166 · 6888 · 10332 (half) · 20664
Aliquot sum (sum of proper divisors): 44,856
Factor pairs (a × b = 20,664)
1 × 20664
2 × 10332
3 × 6888
4 × 5166
6 × 3444
7 × 2952
8 × 2583
9 × 2296
12 × 1722
14 × 1476
18 × 1148
21 × 984
24 × 861
28 × 738
36 × 574
41 × 504
42 × 492
56 × 369
63 × 328
72 × 287
82 × 252
84 × 246
123 × 168
126 × 164
First multiples
20,664 · 41,328 (double) · 61,992 · 82,656 · 103,320 · 123,984 · 144,648 · 165,312 · 185,976 · 206,640

Sums & aliquot sequence

As consecutive integers: 6,887 + 6,888 + 6,889 2,949 + 2,950 + … + 2,955 2,292 + 2,293 + … + 2,300 1,284 + 1,285 + … + 1,299
Aliquot sequence: 20,664 44,856 95,544 163,416 282,984 479,736 853,464 1,332,456 2,058,744 3,088,176 7,004,928 14,318,080 28,107,776 28,082,374 14,078,954 7,039,480 11,669,000 — unresolved within range

Continued fraction of √n

√20,664 = [143; (1, 2, 1, 286)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
twenty thousand six hundred sixty-four
Ordinal
20664th
Binary
101000010111000
Octal
50270
Hexadecimal
0x50B8
Base64
ULg=
One's complement
44,871 (16-bit)
Scientific notation
2.0664 × 10⁴
As a duration
20,664 s = 5 hours, 44 minutes, 24 seconds
In other bases
ternary (3) 1001100100
quaternary (4) 11002320
quinary (5) 1130124
senary (6) 235400
septenary (7) 114150
nonary (9) 31310
undecimal (11) 14586
duodecimal (12) bb60
tridecimal (13) 9537
tetradecimal (14) 7760
pentadecimal (15) 61c9

As an angle

20,664° = 57 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κχξδʹ
Mayan (base 20)
𝋢·𝋫·𝋭·𝋤
Chinese
二萬零六百六十四
Chinese (financial)
貳萬零陸佰陸拾肆
In other modern scripts
Eastern Arabic ٢٠٦٦٤ Devanagari २०६६४ Bengali ২০৬৬৪ Tamil ௨௦௬௬௪ Thai ๒๐๖๖๔ Tibetan ༢༠༦༦༤ Khmer ២០៦៦៤ Lao ໒໐໖໖໔ Burmese ၂၀၆၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 20,664 = 6
e — Euler's number (e)
Digit 20,664 = 6
φ — Golden ratio (φ)
Digit 20,664 = 0
√2 — Pythagoras's (√2)
Digit 20,664 = 4
ln 2 — Natural log of 2
Digit 20,664 = 4
γ — Euler-Mascheroni (γ)
Digit 20,664 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20664, here are decompositions:

  • 23 + 20641 = 20664
  • 37 + 20627 = 20664
  • 53 + 20611 = 20664
  • 71 + 20593 = 20664
  • 101 + 20563 = 20664
  • 113 + 20551 = 20664
  • 131 + 20533 = 20664
  • 157 + 20507 = 20664

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-50B8
U+50B8
Other letter (Lo)

UTF-8 encoding: E5 82 B8 (3 bytes).

Hex color
#0050B8
RGB(0, 80, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.80.184.

Address
0.0.80.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.80.184

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

Position in π

The digit sequence 20664 first appears in π at position 57,325 of the decimal expansion (the 57,325ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.