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133,664

133,664 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.).

133,664 (one hundred thirty-three thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 4,177. Written other ways, in hexadecimal, 0x20A20.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,296
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
466,331
Square (n²)
17,866,064,896
Cube (n³)
2,388,049,698,258,944
Divisor count
12
σ(n) — sum of divisors
263,214
φ(n) — Euler's totient
66,816
Sum of prime factors
4,187

Primality

Prime factorization: 2 5 × 4177

Nearest primes: 133,657 (−7) · 133,669 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 4177 · 8354 · 16708 · 33416 · 66832 (half) · 133664
Aliquot sum (sum of proper divisors): 129,550
Factor pairs (a × b = 133,664)
1 × 133664
2 × 66832
4 × 33416
8 × 16708
16 × 8354
32 × 4177
First multiples
133,664 · 267,328 (double) · 400,992 · 534,656 · 668,320 · 801,984 · 935,648 · 1,069,312 · 1,202,976 · 1,336,640

Sums & aliquot sequence

As a sum of two squares: 220² + 292²
As consecutive integers: 2,057 + 2,058 + … + 2,120
Aliquot sequence: 133,664 129,550 111,506 57,454 32,546 16,276 14,496 23,808 41,600 69,070 55,274 30,586 16,538 8,272 9,584 9,016 11,504 — unresolved within range

Continued fraction of √n

√133,664 = [365; (1, 1, 1, 1, 45, 9, 1, 181, 1, 9, 45, 1, 1, 1, 1, 730)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred sixty-four
Ordinal
133664th
Binary
100000101000100000
Octal
405040
Hexadecimal
0x20A20
Base64
Agog
One's complement
4,294,833,631 (32-bit)
Scientific notation
1.33664 × 10⁵
As a duration
133,664 s = 1 day, 13 hours, 7 minutes, 44 seconds
In other bases
ternary (3) 20210100112
quaternary (4) 200220200
quinary (5) 13234124
senary (6) 2510452
septenary (7) 1064456
nonary (9) 223315
undecimal (11) 91473
duodecimal (12) 65428
tridecimal (13) 48abb
tetradecimal (14) 369d6
pentadecimal (15) 2990e

As an angle

133,664° = 371 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχξδʹ
Mayan (base 20)
𝋰·𝋮·𝋣·𝋤
Chinese
一十三萬三千六百六十四
Chinese (financial)
壹拾參萬參仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٣٦٦٤ Devanagari १३३६६४ Bengali ১৩৩৬৬৪ Tamil ௧௩௩௬௬௪ Thai ๑๓๓๖๖๔ Tibetan ༡༣༣༦༦༤ Khmer ១៣៣៦៦៤ Lao ໑໓໓໖໖໔ Burmese ၁၃၃၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133664, here are decompositions:

  • 7 + 133657 = 133664
  • 31 + 133633 = 133664
  • 67 + 133597 = 133664
  • 277 + 133387 = 133664
  • 313 + 133351 = 133664
  • 337 + 133327 = 133664
  • 463 + 133201 = 133664
  • 547 + 133117 = 133664

Showing the first eight; more decompositions exist.

Unicode codepoint
𠨠
CJK Unified Ideograph-20A20
U+20A20
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 A0 (4 bytes).

Hex color
#020A20
RGB(2, 10, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.32.

Address
0.2.10.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.32

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 133,664 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.