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132,704

132,704 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.).

132,704 (one hundred thirty-two thousand seven hundred four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 11 × 13 × 29. Its proper divisors sum to 184,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20660.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
407,231
Square (n²)
17,610,351,616
Cube (n³)
2,336,964,100,849,664
Divisor count
48
σ(n) — sum of divisors
317,520
φ(n) — Euler's totient
53,760
Sum of prime factors
63

Primality

Prime factorization: 2 5 × 11 × 13 × 29

Nearest primes: 132,701 (−3) · 132,707 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 8 · 11 · 13 · 16 · 22 · 26 · 29 · 32 · 44 · 52 · 58 · 88 · 104 · 116 · 143 · 176 · 208 · 232 · 286 · 319 · 352 · 377 · 416 · 464 · 572 · 638 · 754 · 928 · 1144 · 1276 · 1508 · 2288 · 2552 · 3016 · 4147 · 4576 · 5104 · 6032 · 8294 · 10208 · 12064 · 16588 · 33176 · 66352 (half) · 132704
Aliquot sum (sum of proper divisors): 184,816
Factor pairs (a × b = 132,704)
1 × 132704
2 × 66352
4 × 33176
8 × 16588
11 × 12064
13 × 10208
16 × 8294
22 × 6032
26 × 5104
29 × 4576
32 × 4147
44 × 3016
52 × 2552
58 × 2288
88 × 1508
104 × 1276
116 × 1144
143 × 928
176 × 754
208 × 638
232 × 572
286 × 464
319 × 416
352 × 377
First multiples
132,704 · 265,408 (double) · 398,112 · 530,816 · 663,520 · 796,224 · 928,928 · 1,061,632 · 1,194,336 · 1,327,040

Sums & aliquot sequence

As consecutive integers: 12,059 + 12,060 + … + 12,069 10,202 + 10,203 + … + 10,214 4,562 + 4,563 + … + 4,590 2,042 + 2,043 + … + 2,105
Aliquot sequence: 132,704 184,816 173,296 162,496 160,084 129,324 196,036 147,034 73,520 97,600 146,494 75,986 37,996 42,644 42,700 64,932 108,444 — unresolved within range

Continued fraction of √n

√132,704 = [364; (3, 1, 1, 181, 1, 1, 3, 728)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred four
Ordinal
132704th
Binary
100000011001100000
Octal
403140
Hexadecimal
0x20660
Base64
AgZg
One's complement
4,294,834,591 (32-bit)
Scientific notation
1.32704 × 10⁵
As a duration
132,704 s = 1 day, 12 hours, 51 minutes, 44 seconds
In other bases
ternary (3) 20202000222
quaternary (4) 200121200
quinary (5) 13221304
senary (6) 2502212
septenary (7) 1061615
nonary (9) 222028
undecimal (11) 90780
duodecimal (12) 64968
tridecimal (13) 48530
tetradecimal (14) 3650c
pentadecimal (15) 294be

As an angle

132,704° = 368 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψδʹ
Mayan (base 20)
𝋰·𝋫·𝋯·𝋤
Chinese
一十三萬二千七百零四
Chinese (financial)
壹拾參萬貳仟柒佰零肆
In other modern scripts
Eastern Arabic ١٣٢٧٠٤ Devanagari १३२७०४ Bengali ১৩২৭০৪ Tamil ௧௩௨௭௦௪ Thai ๑๓๒๗๐๔ Tibetan ༡༣༢༧༠༤ Khmer ១៣២៧០៤ Lao ໑໓໒໗໐໔ Burmese ၁၃၂၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132704, here are decompositions:

  • 3 + 132701 = 132704
  • 7 + 132697 = 132704
  • 37 + 132667 = 132704
  • 43 + 132661 = 132704
  • 67 + 132637 = 132704
  • 73 + 132631 = 132704
  • 97 + 132607 = 132704
  • 157 + 132547 = 132704

Showing the first eight; more decompositions exist.

Unicode codepoint
𠙠
CJK Unified Ideograph-20660
U+20660
Other letter (Lo)

UTF-8 encoding: F0 A0 99 A0 (4 bytes).

Hex color
#020660
RGB(2, 6, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.96.

Address
0.2.6.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.96

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 132,704 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.