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133,632

133,632 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.).

133,632 (one hundred thirty-three thousand six hundred thirty-two) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁹ × 3² × 29. Its proper divisors sum to 265,338, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A00.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
324
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
236,331
Square (n²)
17,857,511,424
Cube (n³)
2,386,334,966,611,968
Divisor count
60
σ(n) — sum of divisors
398,970
φ(n) — Euler's totient
43,008
Sum of prime factors
53

Primality

Prime factorization: 2 9 × 3 2 × 29

Nearest primes: 133,631 (−1) · 133,633 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 29 · 32 · 36 · 48 · 58 · 64 · 72 · 87 · 96 · 116 · 128 · 144 · 174 · 192 · 232 · 256 · 261 · 288 · 348 · 384 · 464 · 512 · 522 · 576 · 696 · 768 · 928 · 1044 · 1152 · 1392 · 1536 · 1856 · 2088 · 2304 · 2784 · 3712 · 4176 · 4608 · 5568 · 7424 · 8352 · 11136 · 14848 · 16704 · 22272 · 33408 · 44544 · 66816 (half) · 133632
Aliquot sum (sum of proper divisors): 265,338
Factor pairs (a × b = 133,632)
1 × 133632
2 × 66816
3 × 44544
4 × 33408
6 × 22272
8 × 16704
9 × 14848
12 × 11136
16 × 8352
18 × 7424
24 × 5568
29 × 4608
32 × 4176
36 × 3712
48 × 2784
58 × 2304
64 × 2088
72 × 1856
87 × 1536
96 × 1392
116 × 1152
128 × 1044
144 × 928
174 × 768
192 × 696
232 × 576
256 × 522
261 × 512
288 × 464
348 × 384
First multiples
133,632 · 267,264 (double) · 400,896 · 534,528 · 668,160 · 801,792 · 935,424 · 1,069,056 · 1,202,688 · 1,336,320

Sums & aliquot sequence

As a sum of two squares: 144² + 336²
As consecutive integers: 44,543 + 44,544 + 44,545 14,844 + 14,845 + … + 14,852 4,594 + 4,595 + … + 4,622 1,493 + 1,494 + … + 1,579
Aliquot sequence: 133,632 265,338 309,600 807,516 1,286,324 1,224,436 1,031,244 1,502,196 2,002,956 2,729,268 4,548,492 7,834,788 13,494,520 19,205,000 28,029,880 35,474,120 53,993,080 — unresolved within range

Continued fraction of √n

√133,632 = [365; (1, 1, 3, 1, 7, 5, 1, 10, 1, 1, 2, 2, 1, 1, 1, 3, 10, 45, 1, 1, 2, 14, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand six hundred thirty-two
Ordinal
133632nd
Binary
100000101000000000
Octal
405000
Hexadecimal
0x20A00
Base64
AgoA
One's complement
4,294,833,663 (32-bit)
Scientific notation
1.33632 × 10⁵
As a duration
133,632 s = 1 day, 13 hours, 7 minutes, 12 seconds
In other bases
ternary (3) 20210022100
quaternary (4) 200220000
quinary (5) 13234012
senary (6) 2510400
septenary (7) 1064412
nonary (9) 223270
undecimal (11) 91444
duodecimal (12) 65400
tridecimal (13) 48a95
tetradecimal (14) 369b2
pentadecimal (15) 298dc

As an angle

133,632° = 371 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγχλβʹ
Mayan (base 20)
𝋰·𝋮·𝋡·𝋬
Chinese
一十三萬三千六百三十二
Chinese (financial)
壹拾參萬參仟陸佰參拾貳
In other modern scripts
Eastern Arabic ١٣٣٦٣٢ Devanagari १३३६३२ Bengali ১৩৩৬৩২ Tamil ௧௩௩௬௩௨ Thai ๑๓๓๖๓๒ Tibetan ༡༣༣༦༣༢ Khmer ១៣៣៦៣២ Lao ໑໓໓໖໓໒ Burmese ၁၃၃၆၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133632, here are decompositions:

  • 61 + 133571 = 133632
  • 73 + 133559 = 133632
  • 89 + 133543 = 133632
  • 113 + 133519 = 133632
  • 139 + 133493 = 133632
  • 151 + 133481 = 133632
  • 181 + 133451 = 133632
  • 193 + 133439 = 133632

Showing the first eight; more decompositions exist.

Unicode codepoint
𠨀
CJK Unified Ideograph-20A00
U+20A00
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 80 (4 bytes).

Hex color
#020A00
RGB(2, 10, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.0.

Address
0.2.10.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.0

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 133,632 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°.