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133,168

133,168 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.).

133,168 (one hundred thirty-three thousand one hundred sixty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 29 × 41. Its proper divisors sum to 179,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20830.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
432
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
861,331
Square (n²)
17,733,716,224
Cube (n³)
2,361,563,522,117,632
Divisor count
40
σ(n) — sum of divisors
312,480
φ(n) — Euler's totient
53,760
Sum of prime factors
85

Primality

Prime factorization: 2 4 × 7 × 29 × 41

Nearest primes: 133,157 (−11) · 133,169 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 29 · 41 · 56 · 58 · 82 · 112 · 116 · 164 · 203 · 232 · 287 · 328 · 406 · 464 · 574 · 656 · 812 · 1148 · 1189 · 1624 · 2296 · 2378 · 3248 · 4592 · 4756 · 8323 · 9512 · 16646 · 19024 · 33292 · 66584 (half) · 133168
Aliquot sum (sum of proper divisors): 179,312
Factor pairs (a × b = 133,168)
1 × 133168
2 × 66584
4 × 33292
7 × 19024
8 × 16646
14 × 9512
16 × 8323
28 × 4756
29 × 4592
41 × 3248
56 × 2378
58 × 2296
82 × 1624
112 × 1189
116 × 1148
164 × 812
203 × 656
232 × 574
287 × 464
328 × 406
First multiples
133,168 · 266,336 (double) · 399,504 · 532,672 · 665,840 · 799,008 · 932,176 · 1,065,344 · 1,198,512 · 1,331,680

Sums & aliquot sequence

As consecutive integers: 19,021 + 19,022 + … + 19,027 4,578 + 4,579 + … + 4,606 4,146 + 4,147 + … + 4,177 3,228 + 3,229 + … + 3,268
Aliquot sequence: 133,168 179,312 217,984 253,256 221,614 110,810 117,286 73,766 64,474 32,240 51,088 52,080 138,384 261,795 171,357 57,123 33,045 — unresolved within range

Continued fraction of √n

√133,168 = [364; (1, 11, 1, 4, 6, 1, 7, 1, 1, 8, 2, 12, 3, 80, 1, 3, 3, 45, 3, 3, 1, 80, 3, 12, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred sixty-eight
Ordinal
133168th
Binary
100000100000110000
Octal
404060
Hexadecimal
0x20830
Base64
Aggw
One's complement
4,294,834,127 (32-bit)
Scientific notation
1.33168 × 10⁵
As a duration
133,168 s = 1 day, 12 hours, 59 minutes, 28 seconds
In other bases
ternary (3) 20202200011
quaternary (4) 200200300
quinary (5) 13230133
senary (6) 2504304
septenary (7) 1063150
nonary (9) 222604
undecimal (11) 91062
duodecimal (12) 65094
tridecimal (13) 487c9
tetradecimal (14) 36760
pentadecimal (15) 296cd

As an angle

133,168° = 369 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρξηʹ
Mayan (base 20)
𝋰·𝋬·𝋲·𝋨
Chinese
一十三萬三千一百六十八
Chinese (financial)
壹拾參萬參仟壹佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٣١٦٨ Devanagari १३३१६८ Bengali ১৩৩১৬৮ Tamil ௧௩௩௧௬௮ Thai ๑๓๓๑๖๘ Tibetan ༡༣༣༡༦༨ Khmer ១៣៣១៦៨ Lao ໑໓໓໑໖໘ Burmese ၁၃၃၁၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133168, here are decompositions:

  • 11 + 133157 = 133168
  • 47 + 133121 = 133168
  • 59 + 133109 = 133168
  • 71 + 133097 = 133168
  • 179 + 132989 = 133168
  • 197 + 132971 = 133168
  • 239 + 132929 = 133168
  • 257 + 132911 = 133168

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠰
CJK Unified Ideograph-20830
U+20830
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 B0 (4 bytes).

Hex color
#020830
RGB(2, 8, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.48.

Address
0.2.8.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.48

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 133,168 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 133168 first appears in π at position 919,605 of the decimal expansion (the 919,605ordinal-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