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132,736

132,736 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.).

132,736 (one hundred thirty-two thousand seven hundred thirty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 17 × 61. Its proper divisors sum to 151,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20680.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
756
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
637,231
Square (n²)
17,618,845,696
Cube (n³)
2,338,655,102,304,256
Divisor count
32
σ(n) — sum of divisors
284,580
φ(n) — Euler's totient
61,440
Sum of prime factors
92

Primality

Prime factorization: 2 7 × 17 × 61

Nearest primes: 132,721 (−15) · 132,739 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 16 · 17 · 32 · 34 · 61 · 64 · 68 · 122 · 128 · 136 · 244 · 272 · 488 · 544 · 976 · 1037 · 1088 · 1952 · 2074 · 2176 · 3904 · 4148 · 7808 · 8296 · 16592 · 33184 · 66368 (half) · 132736
Aliquot sum (sum of proper divisors): 151,844
Factor pairs (a × b = 132,736)
1 × 132736
2 × 66368
4 × 33184
8 × 16592
16 × 8296
17 × 7808
32 × 4148
34 × 3904
61 × 2176
64 × 2074
68 × 1952
122 × 1088
128 × 1037
136 × 976
244 × 544
272 × 488
First multiples
132,736 · 265,472 (double) · 398,208 · 530,944 · 663,680 · 796,416 · 929,152 · 1,061,888 · 1,194,624 · 1,327,360

Sums & aliquot sequence

As a sum of two squares: 56² + 360² = 120² + 344²
As consecutive integers: 7,800 + 7,801 + … + 7,816 2,146 + 2,147 + … + 2,206 391 + 392 + … + 646
Aliquot sequence: 132,736 151,844 211,036 211,092 363,468 606,004 660,044 780,724 780,780 2,170,644 3,617,964 7,083,636 12,202,764 20,920,620 46,026,708 87,679,788 152,460,756 — unresolved within range

Continued fraction of √n

√132,736 = [364; (3, 28, 1, 4, 2, 1, 5, 20, 15, 2, 4, 1, 10, 1, 1, 3, 5, 8, 1, 4, 5, 1, 11, 3, …)]

Representations

In words
one hundred thirty-two thousand seven hundred thirty-six
Ordinal
132736th
Binary
100000011010000000
Octal
403200
Hexadecimal
0x20680
Base64
AgaA
One's complement
4,294,834,559 (32-bit)
Scientific notation
1.32736 × 10⁵
As a duration
132,736 s = 1 day, 12 hours, 52 minutes, 16 seconds
In other bases
ternary (3) 20202002011
quaternary (4) 200122000
quinary (5) 13221421
senary (6) 2502304
septenary (7) 1061662
nonary (9) 222064
undecimal (11) 907aa
duodecimal (12) 64994
tridecimal (13) 48556
tetradecimal (14) 36532
pentadecimal (15) 294e1

As an angle

132,736° = 368 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψλϛʹ
Mayan (base 20)
𝋰·𝋫·𝋰·𝋰
Chinese
一十三萬二千七百三十六
Chinese (financial)
壹拾參萬貳仟柒佰參拾陸
In other modern scripts
Eastern Arabic ١٣٢٧٣٦ Devanagari १३२७३६ Bengali ১৩২৭৩৬ Tamil ௧௩௨௭௩௬ Thai ๑๓๒๗๓๖ Tibetan ༡༣༢༧༣༦ Khmer ១៣២៧៣៦ Lao ໑໓໒໗໓໖ Burmese ၁၃၂၇၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132736, here are decompositions:

  • 29 + 132707 = 132736
  • 47 + 132689 = 132736
  • 89 + 132647 = 132736
  • 113 + 132623 = 132736
  • 353 + 132383 = 132736
  • 389 + 132347 = 132736
  • 449 + 132287 = 132736
  • 479 + 132257 = 132736

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚀
CJK Unified Ideograph-20680
U+20680
Other letter (Lo)

UTF-8 encoding: F0 A0 9A 80 (4 bytes).

Hex color
#020680
RGB(2, 6, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.128.

Address
0.2.6.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.128

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 132,736 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