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132,320

132,320 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.).

132,320 (one hundred thirty-two thousand three hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 827. Its proper divisors sum to 180,664, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x204E0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
23,231
Recamán's sequence
a(227,732) = 132,320
Square (n²)
17,508,582,400
Cube (n³)
2,316,735,623,168,000
Divisor count
24
σ(n) — sum of divisors
312,984
φ(n) — Euler's totient
52,864
Sum of prime factors
842

Primality

Prime factorization: 2 5 × 5 × 827

Nearest primes: 132,313 (−7) · 132,329 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 827 · 1654 · 3308 · 4135 · 6616 · 8270 · 13232 · 16540 · 26464 · 33080 · 66160 (half) · 132320
Aliquot sum (sum of proper divisors): 180,664
Factor pairs (a × b = 132,320)
1 × 132320
2 × 66160
4 × 33080
5 × 26464
8 × 16540
10 × 13232
16 × 8270
20 × 6616
32 × 4135
40 × 3308
80 × 1654
160 × 827
First multiples
132,320 · 264,640 (double) · 396,960 · 529,280 · 661,600 · 793,920 · 926,240 · 1,058,560 · 1,190,880 · 1,323,200

Sums & aliquot sequence

As consecutive integers: 26,462 + 26,463 + 26,464 + 26,465 + 26,466 2,036 + 2,037 + … + 2,099 254 + 255 + … + 573
Aliquot sequence: 132,320 180,664 189,056 243,424 235,880 294,940 324,476 243,364 221,324 166,000 240,224 232,780 265,172 198,886 101,354 74,902 44,114 — unresolved within range

Continued fraction of √n

√132,320 = [363; (1, 3, 7, 2, 2, 4, 1, 1, 1, 1, 2, 1, 2, 3, 8, 1, 3, 1, 12, 2, 3, 5, 1, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand three hundred twenty
Ordinal
132320th
Binary
100000010011100000
Octal
402340
Hexadecimal
0x204E0
Base64
AgTg
One's complement
4,294,834,975 (32-bit)
Scientific notation
1.3232 × 10⁵
As a duration
132,320 s = 1 day, 12 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 20201111202
quaternary (4) 200103200
quinary (5) 13213240
senary (6) 2500332
septenary (7) 1060526
nonary (9) 221452
undecimal (11) 90461
duodecimal (12) 646a8
tridecimal (13) 482c6
tetradecimal (14) 36316
pentadecimal (15) 29315

As an angle

132,320° = 367 × 360° + 200°
200° ≈ 3.491 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλβτκʹ
Mayan (base 20)
𝋰·𝋪·𝋰·𝋠
Chinese
一十三萬二千三百二十
Chinese (financial)
壹拾參萬貳仟參佰貳拾
In other modern scripts
Eastern Arabic ١٣٢٣٢٠ Devanagari १३२३२० Bengali ১৩২৩২০ Tamil ௧௩௨௩௨௦ Thai ๑๓๒๓๒๐ Tibetan ༡༣༢༣༢༠ Khmer ១៣២៣២០ Lao ໑໓໒໓໒໐ Burmese ၁၃၂၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132320, here are decompositions:

  • 7 + 132313 = 132320
  • 37 + 132283 = 132320
  • 73 + 132247 = 132320
  • 79 + 132241 = 132320
  • 151 + 132169 = 132320
  • 163 + 132157 = 132320
  • 211 + 132109 = 132320
  • 271 + 132049 = 132320

Showing the first eight; more decompositions exist.

Unicode codepoint
𠓠
CJK Unified Ideograph-204E0
U+204E0
Other letter (Lo)

UTF-8 encoding: F0 A0 93 A0 (4 bytes).

Hex color
#0204E0
RGB(2, 4, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.224.

Address
0.2.4.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.224

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 132,320 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 132320 first appears in π at position 202,354 of the decimal expansion (the 202,354ordinal-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

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