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132,588

132,588 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.).

132,588 (one hundred thirty-two thousand five hundred eighty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 29 × 127. Its proper divisors sum to 216,852, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x205EC.

Abundant Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,920
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
885,231
Square (n²)
17,579,577,744
Cube (n³)
2,330,841,053,921,472
Divisor count
36
σ(n) — sum of divisors
349,440
φ(n) — Euler's totient
42,336
Sum of prime factors
166

Primality

Prime factorization: 2 2 × 3 2 × 29 × 127

Nearest primes: 132,547 (−41) · 132,589 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 29 · 36 · 58 · 87 · 116 · 127 · 174 · 254 · 261 · 348 · 381 · 508 · 522 · 762 · 1044 · 1143 · 1524 · 2286 · 3683 · 4572 · 7366 · 11049 · 14732 · 22098 · 33147 · 44196 · 66294 (half) · 132588
Aliquot sum (sum of proper divisors): 216,852
Factor pairs (a × b = 132,588)
1 × 132588
2 × 66294
3 × 44196
4 × 33147
6 × 22098
9 × 14732
12 × 11049
18 × 7366
29 × 4572
36 × 3683
58 × 2286
87 × 1524
116 × 1143
127 × 1044
174 × 762
254 × 522
261 × 508
348 × 381
First multiples
132,588 · 265,176 (double) · 397,764 · 530,352 · 662,940 · 795,528 · 928,116 · 1,060,704 · 1,193,292 · 1,325,880

Sums & aliquot sequence

As consecutive integers: 44,195 + 44,196 + 44,197 16,570 + 16,571 + … + 16,577 14,728 + 14,729 + … + 14,736 5,513 + 5,514 + … + 5,536
Aliquot sequence: 132,588 216,852 319,404 444,436 333,334 166,670 176,338 88,172 94,612 102,508 106,568 143,992 133,208 116,572 89,844 119,820 215,844 — unresolved within range

Continued fraction of √n

√132,588 = [364; (7, 1, 10, 1, 2, 5, 1, 7, 2, 3, 4, 13, 1, 3, 2, 1, 1, 1, 2, 1, 8, 20, 8, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand five hundred eighty-eight
Ordinal
132588th
Binary
100000010111101100
Octal
402754
Hexadecimal
0x205EC
Base64
AgXs
One's complement
4,294,834,707 (32-bit)
Scientific notation
1.32588 × 10⁵
As a duration
132,588 s = 1 day, 12 hours, 49 minutes, 48 seconds
In other bases
ternary (3) 20201212200
quaternary (4) 200113230
quinary (5) 13220323
senary (6) 2501500
septenary (7) 1061361
nonary (9) 221780
undecimal (11) 90685
duodecimal (12) 64890
tridecimal (13) 48471
tetradecimal (14) 36468
pentadecimal (15) 29443

As an angle

132,588° = 368 × 360° + 108°
108° ≈ 1.885 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβφπηʹ
Mayan (base 20)
𝋰·𝋫·𝋩·𝋨
Chinese
一十三萬二千五百八十八
Chinese (financial)
壹拾參萬貳仟伍佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٢٥٨٨ Devanagari १३२५८८ Bengali ১৩২৫৮৮ Tamil ௧௩௨௫௮௮ Thai ๑๓๒๕๘๘ Tibetan ༡༣༢༥༨༨ Khmer ១៣២៥៨៨ Lao ໑໓໒໕໘໘ Burmese ၁၃၂၅၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132588, here are decompositions:

  • 41 + 132547 = 132588
  • 47 + 132541 = 132588
  • 59 + 132529 = 132588
  • 61 + 132527 = 132588
  • 89 + 132499 = 132588
  • 97 + 132491 = 132588
  • 149 + 132439 = 132588
  • 151 + 132437 = 132588

Showing the first eight; more decompositions exist.

Unicode codepoint
𠗬
CJK Unified Ideograph-205Ec
U+205EC
Other letter (Lo)

UTF-8 encoding: F0 A0 97 AC (4 bytes).

Hex color
#0205EC
RGB(2, 5, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.236.

Address
0.2.5.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.236

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 132,588 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°.