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132,756

132,756 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.).

132,756 (one hundred thirty-two thousand seven hundred fifty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 13 × 23 × 37. Its proper divisors sum to 224,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20694.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,260
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
657,231
Square (n²)
17,624,155,536
Cube (n³)
2,339,712,392,337,216
Divisor count
48
σ(n) — sum of divisors
357,504
φ(n) — Euler's totient
38,016
Sum of prime factors
80

Primality

Prime factorization: 2 2 × 3 × 13 × 23 × 37

Nearest primes: 132,751 (−5) · 132,757 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 23 · 26 · 37 · 39 · 46 · 52 · 69 · 74 · 78 · 92 · 111 · 138 · 148 · 156 · 222 · 276 · 299 · 444 · 481 · 598 · 851 · 897 · 962 · 1196 · 1443 · 1702 · 1794 · 1924 · 2553 · 2886 · 3404 · 3588 · 5106 · 5772 · 10212 · 11063 · 22126 · 33189 · 44252 · 66378 (half) · 132756
Aliquot sum (sum of proper divisors): 224,748
Factor pairs (a × b = 132,756)
1 × 132756
2 × 66378
3 × 44252
4 × 33189
6 × 22126
12 × 11063
13 × 10212
23 × 5772
26 × 5106
37 × 3588
39 × 3404
46 × 2886
52 × 2553
69 × 1924
74 × 1794
78 × 1702
92 × 1443
111 × 1196
138 × 962
148 × 897
156 × 851
222 × 598
276 × 481
299 × 444
First multiples
132,756 · 265,512 (double) · 398,268 · 531,024 · 663,780 · 796,536 · 929,292 · 1,062,048 · 1,194,804 · 1,327,560

Sums & aliquot sequence

As consecutive integers: 44,251 + 44,252 + 44,253 16,591 + 16,592 + … + 16,598 10,206 + 10,207 + … + 10,218 5,761 + 5,762 + … + 5,783
Aliquot sequence: 132,756 224,748 358,212 477,644 377,980 415,820 509,524 458,156 361,012 308,048 335,140 423,380 465,760 677,312 740,008 656,972 581,524 — unresolved within range

Continued fraction of √n

√132,756 = [364; (2, 1, 4, 28, 1, 14, 4, 1, 1, 1, 2, 1, 3, 1, 6, 45, 2, 1, 1, 14, 3, 1, 2, 60, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred fifty-six
Ordinal
132756th
Binary
100000011010010100
Octal
403224
Hexadecimal
0x20694
Base64
AgaU
One's complement
4,294,834,539 (32-bit)
Scientific notation
1.32756 × 10⁵
As a duration
132,756 s = 1 day, 12 hours, 52 minutes, 36 seconds
In other bases
ternary (3) 20202002220
quaternary (4) 200122110
quinary (5) 13222011
senary (6) 2502340
septenary (7) 1062021
nonary (9) 222086
undecimal (11) 90818
duodecimal (12) 649b0
tridecimal (13) 48570
tetradecimal (14) 36548
pentadecimal (15) 29506

As an angle

132,756° = 368 × 360° + 276°
276° ≈ 4.817 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψνϛʹ
Mayan (base 20)
𝋰·𝋫·𝋱·𝋰
Chinese
一十三萬二千七百五十六
Chinese (financial)
壹拾參萬貳仟柒佰伍拾陸
In other modern scripts
Eastern Arabic ١٣٢٧٥٦ Devanagari १३२७५६ Bengali ১৩২৭৫৬ Tamil ௧௩௨௭௫௬ Thai ๑๓๒๗๕๖ Tibetan ༡༣༢༧༥༦ Khmer ១៣២៧៥៦ Lao ໑໓໒໗໕໖ Burmese ၁၃၂၇၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132756, here are decompositions:

  • 5 + 132751 = 132756
  • 7 + 132749 = 132756
  • 17 + 132739 = 132756
  • 47 + 132709 = 132756
  • 59 + 132697 = 132756
  • 67 + 132689 = 132756
  • 89 + 132667 = 132756
  • 109 + 132647 = 132756

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚔
CJK Unified Ideograph-20694
U+20694
Other letter (Lo)

UTF-8 encoding: F0 A0 9A 94 (4 bytes).

Hex color
#020694
RGB(2, 6, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.148.

Address
0.2.6.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.148

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 132,756 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°.