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132,188

132,188 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.).

132,188 (one hundred thirty-two thousand one hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,721. Its proper divisors sum to 132,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2045C.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
384
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
881,231
Recamán's sequence
a(227,996) = 132,188
Square (n²)
17,473,667,344
Cube (n³)
2,309,809,138,868,672
Divisor count
12
σ(n) — sum of divisors
264,432
φ(n) — Euler's totient
56,640
Sum of prime factors
4,732

Primality

Prime factorization: 2 2 × 7 × 4721

Nearest primes: 132,173 (−15) · 132,199 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 4721 · 9442 · 18884 · 33047 · 66094 (half) · 132188
Aliquot sum (sum of proper divisors): 132,244
Factor pairs (a × b = 132,188)
1 × 132188
2 × 66094
4 × 33047
7 × 18884
14 × 9442
28 × 4721
First multiples
132,188 · 264,376 (double) · 396,564 · 528,752 · 660,940 · 793,128 · 925,316 · 1,057,504 · 1,189,692 · 1,321,880

Sums & aliquot sequence

As consecutive integers: 18,881 + 18,882 + … + 18,887 16,520 + 16,521 + … + 16,527 2,333 + 2,334 + … + 2,388
Aliquot sequence: 132,188 132,244 132,300 362,460 798,756 1,397,340 3,451,140 10,096,380 25,815,300 64,178,940 146,259,204 277,025,532 474,243,588 1,001,191,100 1,689,261,700 2,500,109,052 4,166,848,644 — unresolved within range

Continued fraction of √n

√132,188 = [363; (1, 1, 2, 1, 3, 5, 1, 2, 1, 5, 1, 2, 3, 1, 1, 6, 9, 2, 2, 2, 5, 2, 4, 3, …)]

Representations

In words
one hundred thirty-two thousand one hundred eighty-eight
Ordinal
132188th
Binary
100000010001011100
Octal
402134
Hexadecimal
0x2045C
Base64
AgRc
One's complement
4,294,835,107 (32-bit)
Scientific notation
1.32188 × 10⁵
As a duration
132,188 s = 1 day, 12 hours, 43 minutes, 8 seconds
In other bases
ternary (3) 20201022212
quaternary (4) 200101130
quinary (5) 13212223
senary (6) 2455552
septenary (7) 1060250
nonary (9) 221285
undecimal (11) 90351
duodecimal (12) 645b8
tridecimal (13) 48224
tetradecimal (14) 36260
pentadecimal (15) 29278

As an angle

132,188° = 367 × 360° + 68°
68° ≈ 1.187 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβρπηʹ
Mayan (base 20)
𝋰·𝋪·𝋩·𝋨
Chinese
一十三萬二千一百八十八
Chinese (financial)
壹拾參萬貳仟壹佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٢١٨٨ Devanagari १३२१८८ Bengali ১৩২১৮৮ Tamil ௧௩௨௧௮௮ Thai ๑๓๒๑๘๘ Tibetan ༡༣༢༡༨༨ Khmer ១៣២១៨៨ Lao ໑໓໒໑໘໘ Burmese ၁၃၂၁၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132188, here are decompositions:

  • 19 + 132169 = 132188
  • 31 + 132157 = 132188
  • 37 + 132151 = 132188
  • 79 + 132109 = 132188
  • 139 + 132049 = 132188
  • 229 + 131959 = 132188
  • 241 + 131947 = 132188
  • 349 + 131839 = 132188

Showing the first eight; more decompositions exist.

Unicode codepoint
𠑜
CJK Unified Ideograph-2045C
U+2045C
Other letter (Lo)

UTF-8 encoding: F0 A0 91 9C (4 bytes).

Hex color
#02045C
RGB(2, 4, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.92.

Address
0.2.4.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.92

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 132,188 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 132188 first appears in π at position 154,653 of the decimal expansion (the 154,653ordinal-suffix:rd 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.