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132,738

132,738 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.).

132,738 (one hundred thirty-two thousand seven hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 22,123. Its proper divisors sum to 132,750, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20682.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,008
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
837,231
Square (n²)
17,619,376,644
Cube (n³)
2,338,760,816,971,272
Divisor count
8
σ(n) — sum of divisors
265,488
φ(n) — Euler's totient
44,244
Sum of prime factors
22,128

Primality

Prime factorization: 2 × 3 × 22123

Nearest primes: 132,721 (−17) · 132,739 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 22123 · 44246 · 66369 (half) · 132738
Aliquot sum (sum of proper divisors): 132,750
Factor pairs (a × b = 132,738)
1 × 132738
2 × 66369
3 × 44246
6 × 22123
First multiples
132,738 · 265,476 (double) · 398,214 · 530,952 · 663,690 · 796,428 · 929,166 · 1,061,904 · 1,194,642 · 1,327,380

Sums & aliquot sequence

As consecutive integers: 44,245 + 44,246 + 44,247 33,183 + 33,184 + 33,185 + 33,186 11,056 + 11,057 + … + 11,067
Aliquot sequence: 132,738 132,750 232,290 399,510 689,994 805,032 1,431,768 2,455,152 4,794,384 10,125,296 9,950,056 8,742,044 6,556,540 7,212,236 5,409,184 6,396,512 6,467,584 — unresolved within range

Continued fraction of √n

√132,738 = [364; (3, 103, 1, 3, 5, 14, 1, 2, 7, 1, 5, 1, 1, 20, 1, 8, 3, 1, 2, 2, 1, 2, 3, 8, …)]

Representations

In words
one hundred thirty-two thousand seven hundred thirty-eight
Ordinal
132738th
Binary
100000011010000010
Octal
403202
Hexadecimal
0x20682
Base64
AgaC
One's complement
4,294,834,557 (32-bit)
Scientific notation
1.32738 × 10⁵
As a duration
132,738 s = 1 day, 12 hours, 52 minutes, 18 seconds
In other bases
ternary (3) 20202002020
quaternary (4) 200122002
quinary (5) 13221423
senary (6) 2502310
septenary (7) 1061664
nonary (9) 222066
undecimal (11) 90801
duodecimal (12) 64996
tridecimal (13) 48558
tetradecimal (14) 36534
pentadecimal (15) 294e3

As an angle

132,738° = 368 × 360° + 258°
258° ≈ 4.503 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψληʹ
Mayan (base 20)
𝋰·𝋫·𝋰·𝋲
Chinese
一十三萬二千七百三十八
Chinese (financial)
壹拾參萬貳仟柒佰參拾捌
In other modern scripts
Eastern Arabic ١٣٢٧٣٨ Devanagari १३२७३८ Bengali ১৩২৭৩৮ Tamil ௧௩௨௭௩௮ Thai ๑๓๒๗๓๘ Tibetan ༡༣༢༧༣༨ Khmer ១៣២៧៣៨ Lao ໑໓໒໗໓໘ Burmese ၁၃၂၇၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132738, here are decompositions:

  • 17 + 132721 = 132738
  • 29 + 132709 = 132738
  • 31 + 132707 = 132738
  • 37 + 132701 = 132738
  • 41 + 132697 = 132738
  • 59 + 132679 = 132738
  • 71 + 132667 = 132738
  • 101 + 132637 = 132738

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚂
CJK Unified Ideograph-20682
U+20682
Other letter (Lo)

UTF-8 encoding: F0 A0 9A 82 (4 bytes).

Hex color
#020682
RGB(2, 6, 130)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.130.

Address
0.2.6.130
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.130

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 132,738 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 132738 first appears in π at position 199,642 of the decimal expansion (the 199,642ordinal-suffix:nd 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°.