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132,372

132,372 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.).

132,372 (one hundred thirty-two thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,677. Its proper divisors sum to 202,326, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20514.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
252
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
273,231
Recamán's sequence
a(227,628) = 132,372
Square (n²)
17,522,346,384
Cube (n³)
2,319,468,035,542,848
Divisor count
18
σ(n) — sum of divisors
334,698
φ(n) — Euler's totient
44,112
Sum of prime factors
3,687

Primality

Prime factorization: 2 2 × 3 2 × 3677

Nearest primes: 132,371 (−1) · 132,383 (+11)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3677 · 7354 · 11031 · 14708 · 22062 · 33093 · 44124 · 66186 (half) · 132372
Aliquot sum (sum of proper divisors): 202,326
Factor pairs (a × b = 132,372)
1 × 132372
2 × 66186
3 × 44124
4 × 33093
6 × 22062
9 × 14708
12 × 11031
18 × 7354
36 × 3677
First multiples
132,372 · 264,744 (double) · 397,116 · 529,488 · 661,860 · 794,232 · 926,604 · 1,058,976 · 1,191,348 · 1,323,720

Sums & aliquot sequence

As a sum of two squares: 84² + 354²
As consecutive integers: 44,123 + 44,124 + 44,125 16,543 + 16,544 + … + 16,550 14,704 + 14,705 + … + 14,712 5,504 + 5,505 + … + 5,527
Aliquot sequence: 132,372 202,326 202,338 251,412 444,780 1,101,492 2,339,148 3,898,804 4,499,404 5,435,444 6,700,876 8,116,724 10,829,644 11,578,196 11,659,564 11,659,620 30,144,156 — unresolved within range

Continued fraction of √n

√132,372 = [363; (1, 4, 1, 6, 1, 2, 65, 1, 4, 14, 1, 1, 1, 5, 1, 5, 6, 9, 1, 4, 6, 1, 1, 2, …)]

Representations

In words
one hundred thirty-two thousand three hundred seventy-two
Ordinal
132372nd
Binary
100000010100010100
Octal
402424
Hexadecimal
0x20514
Base64
AgUU
One's complement
4,294,834,923 (32-bit)
Scientific notation
1.32372 × 10⁵
As a duration
132,372 s = 1 day, 12 hours, 46 minutes, 12 seconds
In other bases
ternary (3) 20201120200
quaternary (4) 200110110
quinary (5) 13213442
senary (6) 2500500
septenary (7) 1060632
nonary (9) 221520
undecimal (11) 904a9
duodecimal (12) 64730
tridecimal (13) 48336
tetradecimal (14) 36352
pentadecimal (15) 2934c

As an angle

132,372° = 367 × 360° + 252°
252° ≈ 4.398 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβτοβʹ
Mayan (base 20)
𝋰·𝋪·𝋲·𝋬
Chinese
一十三萬二千三百七十二
Chinese (financial)
壹拾參萬貳仟參佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٢٣٧٢ Devanagari १३२३७२ Bengali ১৩২৩৭২ Tamil ௧௩௨௩௭௨ Thai ๑๓๒๓๗๒ Tibetan ༡༣༢༣༧༢ Khmer ១៣២៣៧២ Lao ໑໓໒໓໗໒ Burmese ၁၃၂၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132372, here are decompositions:

  • 5 + 132367 = 132372
  • 11 + 132361 = 132372
  • 41 + 132331 = 132372
  • 43 + 132329 = 132372
  • 59 + 132313 = 132372
  • 73 + 132299 = 132372
  • 89 + 132283 = 132372
  • 109 + 132263 = 132372

Showing the first eight; more decompositions exist.

Unicode codepoint
𠔔
CJK Unified Ideograph-20514
U+20514
Other letter (Lo)

UTF-8 encoding: F0 A0 94 94 (4 bytes).

Hex color
#020514
RGB(2, 5, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.20.

Address
0.2.5.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.20

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 132,372 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 132372 first appears in π at position 271,355 of the decimal expansion (the 271,355ordinal-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

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