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132,088

132,088 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.).

132,088 (one hundred thirty-two thousand eighty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 19 × 79. Its proper divisors sum to 155,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x203F8.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
880,231
Recamán's sequence
a(228,196) = 132,088
Square (n²)
17,447,239,744
Cube (n³)
2,304,571,003,305,472
Divisor count
32
σ(n) — sum of divisors
288,000
φ(n) — Euler's totient
56,160
Sum of prime factors
115

Primality

Prime factorization: 2 3 × 11 × 19 × 79

Nearest primes: 132,071 (−17) · 132,103 (+15)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 11 · 19 · 22 · 38 · 44 · 76 · 79 · 88 · 152 · 158 · 209 · 316 · 418 · 632 · 836 · 869 · 1501 · 1672 · 1738 · 3002 · 3476 · 6004 · 6952 · 12008 · 16511 · 33022 · 66044 (half) · 132088
Aliquot sum (sum of proper divisors): 155,912
Factor pairs (a × b = 132,088)
1 × 132088
2 × 66044
4 × 33022
8 × 16511
11 × 12008
19 × 6952
22 × 6004
38 × 3476
44 × 3002
76 × 1738
79 × 1672
88 × 1501
152 × 869
158 × 836
209 × 632
316 × 418
First multiples
132,088 · 264,176 (double) · 396,264 · 528,352 · 660,440 · 792,528 · 924,616 · 1,056,704 · 1,188,792 · 1,320,880

Sums & aliquot sequence

As consecutive integers: 12,003 + 12,004 + … + 12,013 8,248 + 8,249 + … + 8,263 6,943 + 6,944 + … + 6,961 1,633 + 1,634 + … + 1,711
Aliquot sequence: 132,088 155,912 136,438 68,222 59,650 51,392 61,384 53,726 26,866 22,094 11,050 12,386 7,918 4,394 2,746 1,376 1,396 — unresolved within range

Continued fraction of √n

√132,088 = [363; (2, 3, 1, 1, 1, 1, 5, 8, 1, 3, 1, 8, 5, 1, 1, 1, 1, 3, 2, 726)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eighty-eight
Ordinal
132088th
Binary
100000001111111000
Octal
401770
Hexadecimal
0x203F8
Base64
AgP4
One's complement
4,294,835,207 (32-bit)
Scientific notation
1.32088 × 10⁵
As a duration
132,088 s = 1 day, 12 hours, 41 minutes, 28 seconds
In other bases
ternary (3) 20201012011
quaternary (4) 200033320
quinary (5) 13211323
senary (6) 2455304
septenary (7) 1060045
nonary (9) 221164
undecimal (11) 90270
duodecimal (12) 64534
tridecimal (13) 48178
tetradecimal (14) 361cc
pentadecimal (15) 2920d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβπηʹ
Mayan (base 20)
𝋰·𝋪·𝋤·𝋨
Chinese
一十三萬二千零八十八
Chinese (financial)
壹拾參萬貳仟零捌拾捌
In other modern scripts
Eastern Arabic ١٣٢٠٨٨ Devanagari १३२०८८ Bengali ১৩২০৮৮ Tamil ௧௩௨௦௮௮ Thai ๑๓๒๐๘๘ Tibetan ༡༣༢༠༨༨ Khmer ១៣២០៨៨ Lao ໑໓໒໐໘໘ Burmese ၁၃၂၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132088, here are decompositions:

  • 17 + 132071 = 132088
  • 29 + 132059 = 132088
  • 41 + 132047 = 132088
  • 149 + 131939 = 132088
  • 179 + 131909 = 132088
  • 197 + 131891 = 132088
  • 227 + 131861 = 132088
  • 239 + 131849 = 132088

Showing the first eight; more decompositions exist.

Unicode codepoint
𠏸
CJK Unified Ideograph-203F8
U+203F8
Other letter (Lo)

UTF-8 encoding: F0 A0 8F B8 (4 bytes).

Hex color
#0203F8
RGB(2, 3, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.248.

Address
0.2.3.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.248

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 132,088 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 132088 first appears in π at position 85,647 of the decimal expansion (the 85,647ordinal-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