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132,924

132,924 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.).

132,924 (one hundred thirty-two thousand nine hundred twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 11 × 19 × 53. Its proper divisors sum to 229,956, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2073C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
432
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
429,231
Square (n²)
17,668,789,776
Cube (n³)
2,348,606,212,185,024
Divisor count
48
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
37,440
Sum of prime factors
90

Primality

Prime factorization: 2 2 × 3 × 11 × 19 × 53

Nearest primes: 132,911 (−13) · 132,929 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 19 · 22 · 33 · 38 · 44 · 53 · 57 · 66 · 76 · 106 · 114 · 132 · 159 · 209 · 212 · 228 · 318 · 418 · 583 · 627 · 636 · 836 · 1007 · 1166 · 1254 · 1749 · 2014 · 2332 · 2508 · 3021 · 3498 · 4028 · 6042 · 6996 · 11077 · 12084 · 22154 · 33231 · 44308 · 66462 (half) · 132924
Aliquot sum (sum of proper divisors): 229,956
Factor pairs (a × b = 132,924)
1 × 132924
2 × 66462
3 × 44308
4 × 33231
6 × 22154
11 × 12084
12 × 11077
19 × 6996
22 × 6042
33 × 4028
38 × 3498
44 × 3021
53 × 2508
57 × 2332
66 × 2014
76 × 1749
106 × 1254
114 × 1166
132 × 1007
159 × 836
209 × 636
212 × 627
228 × 583
318 × 418
First multiples
132,924 · 265,848 (double) · 398,772 · 531,696 · 664,620 · 797,544 · 930,468 · 1,063,392 · 1,196,316 · 1,329,240

Sums & aliquot sequence

As consecutive integers: 44,307 + 44,308 + 44,309 16,612 + 16,613 + … + 16,619 12,079 + 12,080 + … + 12,089 6,987 + 6,988 + … + 7,005
Aliquot sequence: 132,924 229,956 306,636 515,892 780,844 666,140 807,220 887,984 1,016,656 953,146 485,018 242,512 248,528 313,378 223,382 117,370 117,242 — unresolved within range

Continued fraction of √n

√132,924 = [364; (1, 1, 2, 2, 1, 3, 1, 1, 1, 2, 1, 3, 1, 1, 2, 3, 3, 28, 1, 6, 3, 14, 1, 1, …)]

Representations

In words
one hundred thirty-two thousand nine hundred twenty-four
Ordinal
132924th
Binary
100000011100111100
Octal
403474
Hexadecimal
0x2073C
Base64
Agc8
One's complement
4,294,834,371 (32-bit)
Scientific notation
1.32924 × 10⁵
As a duration
132,924 s = 1 day, 12 hours, 55 minutes, 24 seconds
In other bases
ternary (3) 20202100010
quaternary (4) 200130330
quinary (5) 13223144
senary (6) 2503220
septenary (7) 1062351
nonary (9) 222303
undecimal (11) 90960
duodecimal (12) 64b10
tridecimal (13) 4866c
tetradecimal (14) 36628
pentadecimal (15) 295b9

As an angle

132,924° = 369 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβϡκδʹ
Mayan (base 20)
𝋰·𝋬·𝋦·𝋤
Chinese
一十三萬二千九百二十四
Chinese (financial)
壹拾參萬貳仟玖佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٢٩٢٤ Devanagari १३२९२४ Bengali ১৩২৯২৪ Tamil ௧௩௨௯௨௪ Thai ๑๓๒๙๒๔ Tibetan ༡༣༢༩༢༤ Khmer ១៣២៩២៤ Lao ໑໓໒໙໒໔ Burmese ၁၃၂၉၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132924, here are decompositions:

  • 13 + 132911 = 132924
  • 31 + 132893 = 132924
  • 37 + 132887 = 132924
  • 61 + 132863 = 132924
  • 67 + 132857 = 132924
  • 73 + 132851 = 132924
  • 107 + 132817 = 132924
  • 163 + 132761 = 132924

Showing the first eight; more decompositions exist.

Unicode codepoint
𠜼
CJK Unified Ideograph-2073C
U+2073C
Other letter (Lo)

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

Hex color
#02073C
RGB(2, 7, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.60.

Address
0.2.7.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.60

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 132,924 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°.