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132,432

132,432 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.).

132,432 (one hundred thirty-two thousand four hundred thirty-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 31 × 89. Its proper divisors sum to 224,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20550.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
144
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
234,231
Square (n²)
17,538,234,624
Cube (n³)
2,322,623,487,725,568
Divisor count
40
σ(n) — sum of divisors
357,120
φ(n) — Euler's totient
42,240
Sum of prime factors
131

Primality

Prime factorization: 2 4 × 3 × 31 × 89

Nearest primes: 132,421 (−11) · 132,437 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 31 · 48 · 62 · 89 · 93 · 124 · 178 · 186 · 248 · 267 · 356 · 372 · 496 · 534 · 712 · 744 · 1068 · 1424 · 1488 · 2136 · 2759 · 4272 · 5518 · 8277 · 11036 · 16554 · 22072 · 33108 · 44144 · 66216 (half) · 132432
Aliquot sum (sum of proper divisors): 224,688
Factor pairs (a × b = 132,432)
1 × 132432
2 × 66216
3 × 44144
4 × 33108
6 × 22072
8 × 16554
12 × 11036
16 × 8277
24 × 5518
31 × 4272
48 × 2759
62 × 2136
89 × 1488
93 × 1424
124 × 1068
178 × 744
186 × 712
248 × 534
267 × 496
356 × 372
First multiples
132,432 · 264,864 (double) · 397,296 · 529,728 · 662,160 · 794,592 · 927,024 · 1,059,456 · 1,191,888 · 1,324,320

Sums & aliquot sequence

As consecutive integers: 44,143 + 44,144 + 44,145 4,257 + 4,258 + … + 4,287 4,123 + 4,124 + … + 4,154 1,444 + 1,445 + … + 1,532
Aliquot sequence: 132,432 224,688 378,448 494,512 495,504 1,012,336 1,181,968 1,182,960 2,995,344 6,599,280 14,542,224 25,693,296 43,014,360 90,683,160 185,451,240 425,275,800 940,708,200 — unresolved within range

Continued fraction of √n

√132,432 = [363; (1, 10, 2, 1, 2, 10, 1, 726)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand four hundred thirty-two
Ordinal
132432nd
Binary
100000010101010000
Octal
402520
Hexadecimal
0x20550
Base64
AgVQ
One's complement
4,294,834,863 (32-bit)
Scientific notation
1.32432 × 10⁵
As a duration
132,432 s = 1 day, 12 hours, 47 minutes, 12 seconds
In other bases
ternary (3) 20201122220
quaternary (4) 200111100
quinary (5) 13214212
senary (6) 2501040
septenary (7) 1061046
nonary (9) 221586
undecimal (11) 90553
duodecimal (12) 64780
tridecimal (13) 48381
tetradecimal (14) 36396
pentadecimal (15) 2938c

As an angle

132,432° = 367 × 360° + 312°
312° ≈ 5.445 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβυλβʹ
Mayan (base 20)
𝋰·𝋫·𝋡·𝋬
Chinese
一十三萬二千四百三十二
Chinese (financial)
壹拾參萬貳仟肆佰參拾貳
In other modern scripts
Eastern Arabic ١٣٢٤٣٢ Devanagari १३२४३२ Bengali ১৩২৪৩২ Tamil ௧௩௨௪௩௨ Thai ๑๓๒๔๓๒ Tibetan ༡༣༢༤༣༢ Khmer ១៣២៤៣២ Lao ໑໓໒໔໓໒ Burmese ၁၃၂၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132432, here are decompositions:

  • 11 + 132421 = 132432
  • 23 + 132409 = 132432
  • 29 + 132403 = 132432
  • 61 + 132371 = 132432
  • 71 + 132361 = 132432
  • 101 + 132331 = 132432
  • 103 + 132329 = 132432
  • 149 + 132283 = 132432

Showing the first eight; more decompositions exist.

Unicode codepoint
𠕐
CJK Unified Ideograph-20550
U+20550
Other letter (Lo)

UTF-8 encoding: F0 A0 95 90 (4 bytes).

Hex color
#020550
RGB(2, 5, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.80.

Address
0.2.5.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.80

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 132,432 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 132432 first appears in π at position 562,636 of the decimal expansion (the 562,636ordinal-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°.