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132,732

132,732 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.).

132,732 (one hundred thirty-two thousand seven hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 1,229. Its proper divisors sum to 211,668, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2067C.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven 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
237,231
Square (n²)
17,617,783,824
Cube (n³)
2,338,443,682,527,168
Divisor count
24
σ(n) — sum of divisors
344,400
φ(n) — Euler's totient
44,208
Sum of prime factors
1,242

Primality

Prime factorization: 2 2 × 3 3 × 1229

Nearest primes: 132,721 (−11) · 132,739 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 108 · 1229 · 2458 · 3687 · 4916 · 7374 · 11061 · 14748 · 22122 · 33183 · 44244 · 66366 (half) · 132732
Aliquot sum (sum of proper divisors): 211,668
Factor pairs (a × b = 132,732)
1 × 132732
2 × 66366
3 × 44244
4 × 33183
6 × 22122
9 × 14748
12 × 11061
18 × 7374
27 × 4916
36 × 3687
54 × 2458
108 × 1229
First multiples
132,732 · 265,464 (double) · 398,196 · 530,928 · 663,660 · 796,392 · 929,124 · 1,061,856 · 1,194,588 · 1,327,320

Sums & aliquot sequence

As consecutive integers: 44,243 + 44,244 + 44,245 16,588 + 16,589 + … + 16,595 14,744 + 14,745 + … + 14,752 5,519 + 5,520 + … + 5,542
Aliquot sequence: 132,732 211,668 299,052 554,724 923,116 692,344 641,456 629,296 624,096 1,321,848 2,585,952 5,246,208 12,561,120 38,623,104 81,114,696 163,583,604 270,877,836 — unresolved within range

Continued fraction of √n

√132,732 = [364; (3, 11, 1, 1, 1, 1, 2, 1, 3, 2, 1, 6, 1, 4, 2, 19, 1, 3, 1, 2, 4, 2, 3, 2, …)]

Representations

In words
one hundred thirty-two thousand seven hundred thirty-two
Ordinal
132732nd
Binary
100000011001111100
Octal
403174
Hexadecimal
0x2067C
Base64
AgZ8
One's complement
4,294,834,563 (32-bit)
Scientific notation
1.32732 × 10⁵
As a duration
132,732 s = 1 day, 12 hours, 52 minutes, 12 seconds
In other bases
ternary (3) 20202002000
quaternary (4) 200121330
quinary (5) 13221412
senary (6) 2502300
septenary (7) 1061655
nonary (9) 222060
undecimal (11) 907a6
duodecimal (12) 64990
tridecimal (13) 48552
tetradecimal (14) 3652c
pentadecimal (15) 294dc

As an angle

132,732° = 368 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβψλβʹ
Mayan (base 20)
𝋰·𝋫·𝋰·𝋬
Chinese
一十三萬二千七百三十二
Chinese (financial)
壹拾參萬貳仟柒佰參拾貳
In other modern scripts
Eastern Arabic ١٣٢٧٣٢ Devanagari १३२७३२ Bengali ১৩২৭৩২ Tamil ௧௩௨௭௩௨ Thai ๑๓๒๗๓๒ Tibetan ༡༣༢༧༣༢ Khmer ១៣២៧៣២ Lao ໑໓໒໗໓໒ Burmese ၁၃၂၇၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132732, here are decompositions:

  • 11 + 132721 = 132732
  • 23 + 132709 = 132732
  • 31 + 132701 = 132732
  • 43 + 132689 = 132732
  • 53 + 132679 = 132732
  • 71 + 132661 = 132732
  • 101 + 132631 = 132732
  • 109 + 132623 = 132732

Showing the first eight; more decompositions exist.

Unicode codepoint
𠙼
CJK Unified Ideograph-2067C
U+2067C
Other letter (Lo)

UTF-8 encoding: F0 A0 99 BC (4 bytes).

Hex color
#02067C
RGB(2, 6, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.124.

Address
0.2.6.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.124

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 132,732 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 132732 first appears in π at position 544,586 of the decimal expansion (the 544,586ordinal-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°.