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132,810

132,810 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.).

132,810 (one hundred thirty-two thousand eight hundred ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 19 × 233. Its proper divisors sum to 204,150, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206CA.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
18,231
Square (n²)
17,638,496,100
Cube (n³)
2,342,568,667,041,000
Divisor count
32
σ(n) — sum of divisors
336,960
φ(n) — Euler's totient
33,408
Sum of prime factors
262

Primality

Prime factorization: 2 × 3 × 5 × 19 × 233

Nearest primes: 132,763 (−47) · 132,817 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 19 · 30 · 38 · 57 · 95 · 114 · 190 · 233 · 285 · 466 · 570 · 699 · 1165 · 1398 · 2330 · 3495 · 4427 · 6990 · 8854 · 13281 · 22135 · 26562 · 44270 · 66405 (half) · 132810
Aliquot sum (sum of proper divisors): 204,150
Factor pairs (a × b = 132,810)
1 × 132810
2 × 66405
3 × 44270
5 × 26562
6 × 22135
10 × 13281
15 × 8854
19 × 6990
30 × 4427
38 × 3495
57 × 2330
95 × 1398
114 × 1165
190 × 699
233 × 570
285 × 466
First multiples
132,810 · 265,620 (double) · 398,430 · 531,240 · 664,050 · 796,860 · 929,670 · 1,062,480 · 1,195,290 · 1,328,100

Sums & aliquot sequence

As consecutive integers: 44,269 + 44,270 + 44,271 33,201 + 33,202 + 33,203 + 33,204 26,560 + 26,561 + 26,562 + 26,563 + 26,564 11,062 + 11,063 + … + 11,073
Aliquot sequence: 132,810 204,150 302,514 308,814 365,106 469,518 623,514 623,526 697,098 706,038 706,050 1,243,230 1,845,570 2,583,870 3,764,802 3,907,518 4,659,042 — unresolved within range

Continued fraction of √n

√132,810 = [364; (2, 3, 7, 1, 9, 2, 1, 1, 2, 3, 48, 3, 2, 1, 1, 2, 9, 1, 7, 3, 2, 728)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eight hundred ten
Ordinal
132810th
Binary
100000011011001010
Octal
403312
Hexadecimal
0x206CA
Base64
AgbK
One's complement
4,294,834,485 (32-bit)
Scientific notation
1.3281 × 10⁵
As a duration
132,810 s = 1 day, 12 hours, 53 minutes, 30 seconds
In other bases
ternary (3) 20202011220
quaternary (4) 200123022
quinary (5) 13222220
senary (6) 2502510
septenary (7) 1062126
nonary (9) 222156
undecimal (11) 90867
duodecimal (12) 64a36
tridecimal (13) 485b2
tetradecimal (14) 36586
pentadecimal (15) 29540

As an angle

132,810° = 368 × 360° + 330°
330° ≈ 5.76 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ρλβωιʹ
Mayan (base 20)
𝋰·𝋬·𝋠·𝋪
Chinese
一十三萬二千八百一十
Chinese (financial)
壹拾參萬貳仟捌佰壹拾
In other modern scripts
Eastern Arabic ١٣٢٨١٠ Devanagari १३२८१० Bengali ১৩২৮১০ Tamil ௧௩௨௮௧௦ Thai ๑๓๒๘๑๐ Tibetan ༡༣༢༨༡༠ Khmer ១៣២៨១០ Lao ໑໓໒໘໑໐ Burmese ၁၃၂၈၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132810, here are decompositions:

  • 47 + 132763 = 132810
  • 53 + 132757 = 132810
  • 59 + 132751 = 132810
  • 61 + 132749 = 132810
  • 71 + 132739 = 132810
  • 89 + 132721 = 132810
  • 101 + 132709 = 132810
  • 103 + 132707 = 132810

Showing the first eight; more decompositions exist.

Unicode codepoint
𠛊
CJK Unified Ideograph-206Ca
U+206CA
Other letter (Lo)

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

Hex color
#0206CA
RGB(2, 6, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.202.

Address
0.2.6.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.202

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 132,810 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°.