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132,888

132,888 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.).

132,888 (one hundred thirty-two thousand eight hundred eighty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 7² × 113. Its proper divisors sum to 256,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20718.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
3,072
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
888,231
Square (n²)
17,659,220,544
Cube (n³)
2,346,698,499,651,072
Divisor count
48
σ(n) — sum of divisors
389,880
φ(n) — Euler's totient
37,632
Sum of prime factors
136

Primality

Prime factorization: 2 3 × 3 × 7 2 × 113

Nearest primes: 132,887 (−1) · 132,893 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 49 · 56 · 84 · 98 · 113 · 147 · 168 · 196 · 226 · 294 · 339 · 392 · 452 · 588 · 678 · 791 · 904 · 1176 · 1356 · 1582 · 2373 · 2712 · 3164 · 4746 · 5537 · 6328 · 9492 · 11074 · 16611 · 18984 · 22148 · 33222 · 44296 · 66444 (half) · 132888
Aliquot sum (sum of proper divisors): 256,992
Factor pairs (a × b = 132,888)
1 × 132888
2 × 66444
3 × 44296
4 × 33222
6 × 22148
7 × 18984
8 × 16611
12 × 11074
14 × 9492
21 × 6328
24 × 5537
28 × 4746
42 × 3164
49 × 2712
56 × 2373
84 × 1582
98 × 1356
113 × 1176
147 × 904
168 × 791
196 × 678
226 × 588
294 × 452
339 × 392
First multiples
132,888 · 265,776 (double) · 398,664 · 531,552 · 664,440 · 797,328 · 930,216 · 1,063,104 · 1,195,992 · 1,328,880

Sums & aliquot sequence

As consecutive integers: 44,295 + 44,296 + 44,297 18,981 + 18,982 + … + 18,987 8,298 + 8,299 + … + 8,313 6,318 + 6,319 + … + 6,338
Aliquot sequence: 132,888 256,992 417,864 673,656 1,010,544 1,675,296 3,929,184 8,847,216 20,091,408 32,071,920 67,351,776 109,446,888 176,465,112 264,697,728 438,406,632 761,204,508 1,016,707,572 — unresolved within range

Continued fraction of √n

√132,888 = [364; (1, 1, 6, 14, 1, 2, 1, 1, 1, 3, 2, 14, 2, 3, 1, 1, 1, 2, 1, 14, 6, 1, 1, 728)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eight hundred eighty-eight
Ordinal
132888th
Binary
100000011100011000
Octal
403430
Hexadecimal
0x20718
Base64
AgcY
One's complement
4,294,834,407 (32-bit)
Scientific notation
1.32888 × 10⁵
As a duration
132,888 s = 1 day, 12 hours, 54 minutes, 48 seconds
In other bases
ternary (3) 20202021210
quaternary (4) 200130120
quinary (5) 13223023
senary (6) 2503120
septenary (7) 1062300
nonary (9) 222253
undecimal (11) 90928
duodecimal (12) 64aa0
tridecimal (13) 48642
tetradecimal (14) 36600
pentadecimal (15) 29593

As an angle

132,888° = 369 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβωπηʹ
Mayan (base 20)
𝋰·𝋬·𝋤·𝋨
Chinese
一十三萬二千八百八十八
Chinese (financial)
壹拾參萬貳仟捌佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٢٨٨٨ Devanagari १३२८८८ Bengali ১৩২৮৮৮ Tamil ௧௩௨௮௮௮ Thai ๑๓๒๘๘๘ Tibetan ༡༣༢༨༨༨ Khmer ១៣២៨៨៨ Lao ໑໓໒໘໘໘ Burmese ၁၃၂၈၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132888, here are decompositions:

  • 29 + 132859 = 132888
  • 31 + 132857 = 132888
  • 37 + 132851 = 132888
  • 71 + 132817 = 132888
  • 127 + 132761 = 132888
  • 131 + 132757 = 132888
  • 137 + 132751 = 132888
  • 139 + 132749 = 132888

Showing the first eight; more decompositions exist.

Unicode codepoint
𠜘
CJK Unified Ideograph-20718
U+20718
Other letter (Lo)

UTF-8 encoding: F0 A0 9C 98 (4 bytes).

Hex color
#020718
RGB(2, 7, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.24.

Address
0.2.7.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.24

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 132,888 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 132888 first appears in π at position 264,145 of the decimal expansion (the 264,145ordinal-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°.