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133,568

133,568 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.).

133,568 (one hundred thirty-three thousand five hundred sixty-eight) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 2,087. Written other ways, in hexadecimal, 0x209C0.

Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,160
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
865,331
Square (n²)
17,840,410,624
Cube (n³)
2,382,907,966,226,432
Divisor count
14
σ(n) — sum of divisors
265,176
φ(n) — Euler's totient
66,752
Sum of prime factors
2,099

Primality

Prime factorization: 2 6 × 2087

Nearest primes: 133,559 (−9) · 133,571 (+3)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 2087 · 4174 · 8348 · 16696 · 33392 · 66784 (half) · 133568
Aliquot sum (sum of proper divisors): 131,608
Factor pairs (a × b = 133,568)
1 × 133568
2 × 66784
4 × 33392
8 × 16696
16 × 8348
32 × 4174
64 × 2087
First multiples
133,568 · 267,136 (double) · 400,704 · 534,272 · 667,840 · 801,408 · 934,976 · 1,068,544 · 1,202,112 · 1,335,680

Sums & aliquot sequence

As consecutive integers: 980 + 981 + … + 1,107
Aliquot sequence: 133,568 131,608 115,172 86,386 46,094 26,746 14,438 7,222 4,154 2,374 1,190 1,402 704 820 944 916 694 — unresolved within range

Continued fraction of √n

√133,568 = [365; (2, 7, 1, 2, 2, 17, 2, 2, 23, 5, 1, 2, 104, 14, 1, 9, 1, 4, 2, 2, 1, 10, 1, 2, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred sixty-eight
Ordinal
133568th
Binary
100000100111000000
Octal
404700
Hexadecimal
0x209C0
Base64
AgnA
One's complement
4,294,833,727 (32-bit)
Scientific notation
1.33568 × 10⁵
As a duration
133,568 s = 1 day, 13 hours, 6 minutes, 8 seconds
In other bases
ternary (3) 20210012222
quaternary (4) 200213000
quinary (5) 13233233
senary (6) 2510212
septenary (7) 1064261
nonary (9) 223188
undecimal (11) 91396
duodecimal (12) 65368
tridecimal (13) 48a46
tetradecimal (14) 36968
pentadecimal (15) 29898

As an angle

133,568° = 371 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφξηʹ
Mayan (base 20)
𝋰·𝋭·𝋲·𝋨
Chinese
一十三萬三千五百六十八
Chinese (financial)
壹拾參萬參仟伍佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٣٥٦٨ Devanagari १३३५६८ Bengali ১৩৩৫৬৮ Tamil ௧௩௩௫௬௮ Thai ๑๓๓๕๖๘ Tibetan ༡༣༣༥༦༨ Khmer ១៣៣៥៦៨ Lao ໑໓໓໕໖໘ Burmese ၁၃၃၅၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133568, here are decompositions:

  • 151 + 133417 = 133568
  • 181 + 133387 = 133568
  • 241 + 133327 = 133568
  • 307 + 133261 = 133568
  • 367 + 133201 = 133568
  • 499 + 133069 = 133568
  • 601 + 132967 = 133568
  • 607 + 132961 = 133568

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧀
CJK Unified Ideograph-209C0
U+209C0
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 80 (4 bytes).

Hex color
#0209C0
RGB(2, 9, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.192.

Address
0.2.9.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.192

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 133,568 and was likely granted around 1872.

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

Position in π

The digit sequence 133568 first appears in π at position 80,883 of the decimal expansion (the 80,883ordinal-suffix:rd 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

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