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133,268

133,268 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.).

133,268 (one hundred thirty-three thousand two hundred sixty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,317. Written other ways, in hexadecimal, 0x20894.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
864
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
862,331
Square (n²)
17,760,359,824
Cube (n³)
2,366,887,633,024,832
Divisor count
6
σ(n) — sum of divisors
233,226
φ(n) — Euler's totient
66,632
Sum of prime factors
33,321

Primality

Prime factorization: 2 2 × 33317

Nearest primes: 133,261 (−7) · 133,271 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33317 · 66634 (half) · 133268
Aliquot sum (sum of proper divisors): 99,958
Factor pairs (a × b = 133,268)
1 × 133268
2 × 66634
4 × 33317
First multiples
133,268 · 266,536 (double) · 399,804 · 533,072 · 666,340 · 799,608 · 932,876 · 1,066,144 · 1,199,412 · 1,332,680

Sums & aliquot sequence

As a sum of two squares: 172² + 322²
As consecutive integers: 16,655 + 16,656 + … + 16,662
Aliquot sequence: 133,268 99,958 63,338 40,342 22,874 11,440 19,808 19,252 14,446 8,018 4,702 2,354 1,534 986 634 320 442 — unresolved within range

Continued fraction of √n

√133,268 = [365; (16, 1, 44, 1, 2, 4, 5, 45, 2, 3, 1, 3, 182, 3, 1, 3, 2, 45, 5, 4, 2, 1, 44, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred sixty-eight
Ordinal
133268th
Binary
100000100010010100
Octal
404224
Hexadecimal
0x20894
Base64
AgiU
One's complement
4,294,834,027 (32-bit)
Scientific notation
1.33268 × 10⁵
As a duration
133,268 s = 1 day, 13 hours, 1 minute, 8 seconds
In other bases
ternary (3) 20202210212
quaternary (4) 200202110
quinary (5) 13231033
senary (6) 2504552
septenary (7) 1063352
nonary (9) 222725
undecimal (11) 91143
duodecimal (12) 65158
tridecimal (13) 48875
tetradecimal (14) 367d2
pentadecimal (15) 29748

As an angle

133,268° = 370 × 360° + 68°
68° ≈ 1.187 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσξηʹ
Mayan (base 20)
𝋰·𝋭·𝋣·𝋨
Chinese
一十三萬三千二百六十八
Chinese (financial)
壹拾參萬參仟貳佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٣٢٦٨ Devanagari १३३२६८ Bengali ১৩৩২৬৮ Tamil ௧௩௩௨௬௮ Thai ๑๓๓๒๖๘ Tibetan ༡༣༣༢༦༨ Khmer ១៣៣២៦៨ Lao ໑໓໓໒໖໘ Burmese ၁၃၃၂၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133268, here are decompositions:

  • 7 + 133261 = 133268
  • 67 + 133201 = 133268
  • 151 + 133117 = 133268
  • 181 + 133087 = 133268
  • 199 + 133069 = 133268
  • 229 + 133039 = 133268
  • 307 + 132961 = 133268
  • 409 + 132859 = 133268

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢔
CJK Unified Ideograph-20894
U+20894
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 94 (4 bytes).

Hex color
#020894
RGB(2, 8, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.148.

Address
0.2.8.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.148

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 133,268 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.