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133,812

133,812 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.).

133,812 (one hundred thirty-three thousand eight hundred twelve) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2² × 3⁴ × 7 × 59. Its proper divisors sum to 272,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AB4.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
218,331
Square (n²)
17,905,651,344
Cube (n³)
2,395,991,017,643,328
Divisor count
60
σ(n) — sum of divisors
406,560
φ(n) — Euler's totient
37,584
Sum of prime factors
82

Primality

Prime factorization: 2 2 × 3 4 × 7 × 59

Nearest primes: 133,811 (−1) · 133,813 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 27 · 28 · 36 · 42 · 54 · 59 · 63 · 81 · 84 · 108 · 118 · 126 · 162 · 177 · 189 · 236 · 252 · 324 · 354 · 378 · 413 · 531 · 567 · 708 · 756 · 826 · 1062 · 1134 · 1239 · 1593 · 1652 · 2124 · 2268 · 2478 · 3186 · 3717 · 4779 · 4956 · 6372 · 7434 · 9558 · 11151 · 14868 · 19116 · 22302 · 33453 · 44604 · 66906 (half) · 133812
Aliquot sum (sum of proper divisors): 272,748
Factor pairs (a × b = 133,812)
1 × 133812
2 × 66906
3 × 44604
4 × 33453
6 × 22302
7 × 19116
9 × 14868
12 × 11151
14 × 9558
18 × 7434
21 × 6372
27 × 4956
28 × 4779
36 × 3717
42 × 3186
54 × 2478
59 × 2268
63 × 2124
81 × 1652
84 × 1593
108 × 1239
118 × 1134
126 × 1062
162 × 826
177 × 756
189 × 708
236 × 567
252 × 531
324 × 413
354 × 378
First multiples
133,812 · 267,624 (double) · 401,436 · 535,248 · 669,060 · 802,872 · 936,684 · 1,070,496 · 1,204,308 · 1,338,120

Sums & aliquot sequence

As consecutive integers: 44,603 + 44,604 + 44,605 19,113 + 19,114 + … + 19,119 16,723 + 16,724 + … + 16,730 14,864 + 14,865 + … + 14,872
Aliquot sequence: 133,812 272,748 501,396 874,860 1,926,036 3,638,796 6,064,884 11,913,804 26,245,044 49,574,700 139,857,620 195,801,004 216,412,756 221,281,004 221,281,060 414,182,300 639,359,644 — unresolved within range

Continued fraction of √n

√133,812 = [365; (1, 4, 12, 4, 1, 730)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred twelve
Ordinal
133812th
Binary
100000101010110100
Octal
405264
Hexadecimal
0x20AB4
Base64
Agq0
One's complement
4,294,833,483 (32-bit)
Scientific notation
1.33812 × 10⁵
As a duration
133,812 s = 1 day, 13 hours, 10 minutes, 12 seconds
In other bases
ternary (3) 20210120000
quaternary (4) 200222310
quinary (5) 13240222
senary (6) 2511300
septenary (7) 1065060
nonary (9) 223500
undecimal (11) 91598
duodecimal (12) 65530
tridecimal (13) 48ba3
tetradecimal (14) 36aa0
pentadecimal (15) 299ac

As an angle

133,812° = 371 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλγωιβʹ
Mayan (base 20)
𝋰·𝋮·𝋪·𝋬
Chinese
一十三萬三千八百一十二
Chinese (financial)
壹拾參萬參仟捌佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٣٨١٢ Devanagari १३३८१२ Bengali ১৩৩৮১২ Tamil ௧௩௩௮௧௨ Thai ๑๓๓๘๑๒ Tibetan ༡༣༣༨༡༢ Khmer ១៣៣៨១២ Lao ໑໓໓໘໑໒ Burmese ၁၃၃၈၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133812, here are decompositions:

  • 11 + 133801 = 133812
  • 31 + 133781 = 133812
  • 43 + 133769 = 133812
  • 79 + 133733 = 133812
  • 89 + 133723 = 133812
  • 101 + 133711 = 133812
  • 103 + 133709 = 133812
  • 139 + 133673 = 133812

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪴
CJK Unified Ideograph-20Ab4
U+20AB4
Other letter (Lo)

UTF-8 encoding: F0 A0 AA B4 (4 bytes).

Hex color
#020AB4
RGB(2, 10, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.180.

Address
0.2.10.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.180

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 133,812 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.