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133,532

133,532 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.).

133,532 (one hundred thirty-three thousand five hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 19 × 251. Its proper divisors sum to 148,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2099C.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
270
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
235,331
Square (n²)
17,830,795,024
Cube (n³)
2,380,981,721,144,768
Divisor count
24
σ(n) — sum of divisors
282,240
φ(n) — Euler's totient
54,000
Sum of prime factors
281

Primality

Prime factorization: 2 2 × 7 × 19 × 251

Nearest primes: 133,519 (−13) · 133,541 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 19 · 28 · 38 · 76 · 133 · 251 · 266 · 502 · 532 · 1004 · 1757 · 3514 · 4769 · 7028 · 9538 · 19076 · 33383 · 66766 (half) · 133532
Aliquot sum (sum of proper divisors): 148,708
Factor pairs (a × b = 133,532)
1 × 133532
2 × 66766
4 × 33383
7 × 19076
14 × 9538
19 × 7028
28 × 4769
38 × 3514
76 × 1757
133 × 1004
251 × 532
266 × 502
First multiples
133,532 · 267,064 (double) · 400,596 · 534,128 · 667,660 · 801,192 · 934,724 · 1,068,256 · 1,201,788 · 1,335,320

Sums & aliquot sequence

As consecutive integers: 19,073 + 19,074 + … + 19,079 16,688 + 16,689 + … + 16,695 7,019 + 7,020 + … + 7,037 2,357 + 2,358 + … + 2,412
Aliquot sequence: 133,532 148,708 157,724 167,524 180,124 186,956 221,620 310,604 310,660 450,632 590,968 703,592 651,868 695,716 695,772 1,505,700 3,910,620 — unresolved within range

Continued fraction of √n

√133,532 = [365; (2, 2, 1, 1, 1, 3, 12, 1, 3, 2, 4, 1, 2, 182, 2, 1, 4, 2, 3, 1, 12, 3, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred thirty-two
Ordinal
133532nd
Binary
100000100110011100
Octal
404634
Hexadecimal
0x2099C
Base64
Agmc
One's complement
4,294,833,763 (32-bit)
Scientific notation
1.33532 × 10⁵
As a duration
133,532 s = 1 day, 13 hours, 5 minutes, 32 seconds
In other bases
ternary (3) 20210011122
quaternary (4) 200212130
quinary (5) 13233112
senary (6) 2510112
septenary (7) 1064210
nonary (9) 223148
undecimal (11) 91363
duodecimal (12) 65338
tridecimal (13) 48a19
tetradecimal (14) 36940
pentadecimal (15) 29872

As an angle

133,532° = 370 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγφλβʹ
Mayan (base 20)
𝋰·𝋭·𝋰·𝋬
Chinese
一十三萬三千五百三十二
Chinese (financial)
壹拾參萬參仟伍佰參拾貳
In other modern scripts
Eastern Arabic ١٣٣٥٣٢ Devanagari १३३५३२ Bengali ১৩৩৫৩২ Tamil ௧௩௩௫௩௨ Thai ๑๓๓๕๓๒ Tibetan ༡༣༣༥༣༢ Khmer ១៣៣៥៣២ Lao ໑໓໓໕໓໒ Burmese ၁၃၃၅၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133532, here are decompositions:

  • 13 + 133519 = 133532
  • 181 + 133351 = 133532
  • 211 + 133321 = 133532
  • 229 + 133303 = 133532
  • 271 + 133261 = 133532
  • 331 + 133201 = 133532
  • 349 + 133183 = 133532
  • 379 + 133153 = 133532

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦜
CJK Unified Ideograph-2099C
U+2099C
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 9C (4 bytes).

Hex color
#02099C
RGB(2, 9, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.156.

Address
0.2.9.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.156

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 133,532 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

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