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132,804

132,804 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.).

132,804 (one hundred thirty-two thousand eight hundred four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 7 × 17 × 31. Its proper divisors sum to 286,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206C4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
408,231
Square (n²)
17,636,902,416
Cube (n³)
2,342,251,188,454,464
Divisor count
72
σ(n) — sum of divisors
419,328
φ(n) — Euler's totient
34,560
Sum of prime factors
65

Primality

Prime factorization: 2 2 × 3 2 × 7 × 17 × 31

Nearest primes: 132,763 (−41) · 132,817 (+13)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 17 · 18 · 21 · 28 · 31 · 34 · 36 · 42 · 51 · 62 · 63 · 68 · 84 · 93 · 102 · 119 · 124 · 126 · 153 · 186 · 204 · 217 · 238 · 252 · 279 · 306 · 357 · 372 · 434 · 476 · 527 · 558 · 612 · 651 · 714 · 868 · 1054 · 1071 · 1116 · 1302 · 1428 · 1581 · 1953 · 2108 · 2142 · 2604 · 3162 · 3689 · 3906 · 4284 · 4743 · 6324 · 7378 · 7812 · 9486 · 11067 · 14756 · 18972 · 22134 · 33201 · 44268 · 66402 (half) · 132804
Aliquot sum (sum of proper divisors): 286,524
Factor pairs (a × b = 132,804)
1 × 132804
2 × 66402
3 × 44268
4 × 33201
6 × 22134
7 × 18972
9 × 14756
12 × 11067
14 × 9486
17 × 7812
18 × 7378
21 × 6324
28 × 4743
31 × 4284
34 × 3906
36 × 3689
42 × 3162
51 × 2604
62 × 2142
63 × 2108
68 × 1953
84 × 1581
93 × 1428
102 × 1302
119 × 1116
124 × 1071
126 × 1054
153 × 868
186 × 714
204 × 651
217 × 612
238 × 558
252 × 527
279 × 476
306 × 434
357 × 372
First multiples
132,804 · 265,608 (double) · 398,412 · 531,216 · 664,020 · 796,824 · 929,628 · 1,062,432 · 1,195,236 · 1,328,040

Sums & aliquot sequence

As consecutive integers: 44,267 + 44,268 + 44,269 18,969 + 18,970 + … + 18,975 16,597 + 16,598 + … + 16,604 14,752 + 14,753 + … + 14,760
Aliquot sequence: 132,804 286,524 564,676 629,132 629,188 685,244 685,300 1,189,580 1,773,940 2,483,852 2,601,844 2,725,324 2,774,324 2,774,380 4,407,620 6,734,140 9,619,652 — unresolved within range

Continued fraction of √n

√132,804 = [364; (2, 2, 1, 2, 1, 5, 3, 2, 2, 2, 8, 2, 1, 2, 1, 2, 8, 2, 2, 2, 3, 5, 1, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eight hundred four
Ordinal
132804th
Binary
100000011011000100
Octal
403304
Hexadecimal
0x206C4
Base64
AgbE
One's complement
4,294,834,491 (32-bit)
Scientific notation
1.32804 × 10⁵
As a duration
132,804 s = 1 day, 12 hours, 53 minutes, 24 seconds
In other bases
ternary (3) 20202011200
quaternary (4) 200123010
quinary (5) 13222204
senary (6) 2502500
septenary (7) 1062120
nonary (9) 222150
undecimal (11) 90861
duodecimal (12) 64a30
tridecimal (13) 485a9
tetradecimal (14) 36580
pentadecimal (15) 29539
Palindromic in base 8

As an angle

132,804° = 368 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβωδʹ
Mayan (base 20)
𝋰·𝋬·𝋠·𝋤
Chinese
一十三萬二千八百零四
Chinese (financial)
壹拾參萬貳仟捌佰零肆
In other modern scripts
Eastern Arabic ١٣٢٨٠٤ Devanagari १३२८०४ Bengali ১৩২৮০৪ Tamil ௧௩௨௮௦௪ Thai ๑๓๒๘๐๔ Tibetan ༡༣༢༨༠༤ Khmer ១៣២៨០៤ Lao ໑໓໒໘໐໔ Burmese ၁၃၂၈၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132804, here are decompositions:

  • 41 + 132763 = 132804
  • 43 + 132761 = 132804
  • 47 + 132757 = 132804
  • 53 + 132751 = 132804
  • 83 + 132721 = 132804
  • 97 + 132707 = 132804
  • 103 + 132701 = 132804
  • 107 + 132697 = 132804

Showing the first eight; more decompositions exist.

Unicode codepoint
𠛄
CJK Unified Ideograph-206C4
U+206C4
Other letter (Lo)

UTF-8 encoding: F0 A0 9B 84 (4 bytes).

Hex color
#0206C4
RGB(2, 6, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.196.

Address
0.2.6.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.196

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 132,804 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°.