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133,768

133,768 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.).

133,768 (one hundred thirty-three thousand seven hundred sixty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 23 × 727. Written other ways, in hexadecimal, 0x20A88.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
3,024
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
867,331
Square (n²)
17,893,877,824
Cube (n³)
2,393,628,248,760,832
Divisor count
16
σ(n) — sum of divisors
262,080
φ(n) — Euler's totient
63,888
Sum of prime factors
756

Primality

Prime factorization: 2 3 × 23 × 727

Nearest primes: 133,733 (−35) · 133,769 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 23 · 46 · 92 · 184 · 727 · 1454 · 2908 · 5816 · 16721 · 33442 · 66884 (half) · 133768
Aliquot sum (sum of proper divisors): 128,312
Factor pairs (a × b = 133,768)
1 × 133768
2 × 66884
4 × 33442
8 × 16721
23 × 5816
46 × 2908
92 × 1454
184 × 727
First multiples
133,768 · 267,536 (double) · 401,304 · 535,072 · 668,840 · 802,608 · 936,376 · 1,070,144 · 1,203,912 · 1,337,680

Sums & aliquot sequence

As consecutive integers: 8,353 + 8,354 + … + 8,368 5,805 + 5,806 + … + 5,827 180 + 181 + … + 547
Aliquot sequence: 133,768 128,312 118,528 118,576 111,196 83,404 67,796 57,952 56,204 42,160 64,976 65,968 92,752 121,520 217,744 218,736 516,336 — unresolved within range

Continued fraction of √n

√133,768 = [365; (1, 2, 1, 8, 3, 1, 1, 3, 1, 1, 3, 2, 3, 2, 1, 1, 4, 91, 4, 1, 1, 2, 3, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred sixty-eight
Ordinal
133768th
Binary
100000101010001000
Octal
405210
Hexadecimal
0x20A88
Base64
AgqI
One's complement
4,294,833,527 (32-bit)
Scientific notation
1.33768 × 10⁵
As a duration
133,768 s = 1 day, 13 hours, 9 minutes, 28 seconds
In other bases
ternary (3) 20210111101
quaternary (4) 200222020
quinary (5) 13240033
senary (6) 2511144
septenary (7) 1064665
nonary (9) 223441
undecimal (11) 91558
duodecimal (12) 654b4
tridecimal (13) 48b6b
tetradecimal (14) 36a6c
pentadecimal (15) 2997d

As an angle

133,768° = 371 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψξηʹ
Mayan (base 20)
𝋰·𝋮·𝋨·𝋨
Chinese
一十三萬三千七百六十八
Chinese (financial)
壹拾參萬參仟柒佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٣٧٦٨ Devanagari १३३७६८ Bengali ১৩৩৭৬৮ Tamil ௧௩௩௭௬௮ Thai ๑๓๓๗๖๘ Tibetan ༡༣༣༧༦༨ Khmer ១៣៣៧៦៨ Lao ໑໓໓໗໖໘ Burmese ၁၃၃၇၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133768, here are decompositions:

  • 59 + 133709 = 133768
  • 71 + 133697 = 133768
  • 137 + 133631 = 133768
  • 197 + 133571 = 133768
  • 227 + 133541 = 133768
  • 269 + 133499 = 133768
  • 317 + 133451 = 133768
  • 389 + 133379 = 133768

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪈
CJK Unified Ideograph-20A88
U+20A88
Other letter (Lo)

UTF-8 encoding: F0 A0 AA 88 (4 bytes).

Hex color
#020A88
RGB(2, 10, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.136.

Address
0.2.10.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.136

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 133,768 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