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132,080

132,080 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.).

132,080 (one hundred thirty-two thousand eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 13 × 127. Its proper divisors sum to 201,232, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x203F0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
80,231
Recamán's sequence
a(228,212) = 132,080
Square (n²)
17,445,126,400
Cube (n³)
2,304,152,294,912,000
Divisor count
40
σ(n) — sum of divisors
333,312
φ(n) — Euler's totient
48,384
Sum of prime factors
153

Primality

Prime factorization: 2 4 × 5 × 13 × 127

Nearest primes: 132,071 (−9) · 132,103 (+23)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 40 · 52 · 65 · 80 · 104 · 127 · 130 · 208 · 254 · 260 · 508 · 520 · 635 · 1016 · 1040 · 1270 · 1651 · 2032 · 2540 · 3302 · 5080 · 6604 · 8255 · 10160 · 13208 · 16510 · 26416 · 33020 · 66040 (half) · 132080
Aliquot sum (sum of proper divisors): 201,232
Factor pairs (a × b = 132,080)
1 × 132080
2 × 66040
4 × 33020
5 × 26416
8 × 16510
10 × 13208
13 × 10160
16 × 8255
20 × 6604
26 × 5080
40 × 3302
52 × 2540
65 × 2032
80 × 1651
104 × 1270
127 × 1040
130 × 1016
208 × 635
254 × 520
260 × 508
First multiples
132,080 · 264,160 (double) · 396,240 · 528,320 · 660,400 · 792,480 · 924,560 · 1,056,640 · 1,188,720 · 1,320,800

Sums & aliquot sequence

As consecutive integers: 26,414 + 26,415 + 26,416 + 26,417 + 26,418 10,154 + 10,155 + … + 10,166 4,112 + 4,113 + … + 4,143 2,000 + 2,001 + … + 2,064
Aliquot sequence: 132,080 201,232 188,686 94,346 74,998 65,546 40,378 24,890 22,630 19,994 12,346 6,176 6,046 3,026 1,834 1,334 826 — unresolved within range

Continued fraction of √n

√132,080 = [363; (2, 2, 1, 44, 1, 2, 2, 726)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eighty
Ordinal
132080th
Binary
100000001111110000
Octal
401760
Hexadecimal
0x203F0
Base64
AgPw
One's complement
4,294,835,215 (32-bit)
Scientific notation
1.3208 × 10⁵
As a duration
132,080 s = 1 day, 12 hours, 41 minutes, 20 seconds
In other bases
ternary (3) 20201011212
quaternary (4) 200033300
quinary (5) 13211310
senary (6) 2455252
septenary (7) 1060034
nonary (9) 221155
undecimal (11) 90263
duodecimal (12) 64528
tridecimal (13) 48170
tetradecimal (14) 361c4
pentadecimal (15) 29205

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβπʹ
Mayan (base 20)
𝋰·𝋪·𝋤·𝋠
Chinese
一十三萬二千零八十
Chinese (financial)
壹拾參萬貳仟零捌拾
In other modern scripts
Eastern Arabic ١٣٢٠٨٠ Devanagari १३२०८० Bengali ১৩২০৮০ Tamil ௧௩௨௦௮௦ Thai ๑๓๒๐๘๐ Tibetan ༡༣༢༠༨༠ Khmer ១៣២០៨០ Lao ໑໓໒໐໘໐ Burmese ၁၃၂၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132080, here are decompositions:

  • 31 + 132049 = 132080
  • 61 + 132019 = 132080
  • 79 + 132001 = 132080
  • 139 + 131941 = 132080
  • 181 + 131899 = 132080
  • 241 + 131839 = 132080
  • 283 + 131797 = 132080
  • 331 + 131749 = 132080

Showing the first eight; more decompositions exist.

Unicode codepoint
𠏰
CJK Unified Ideograph-203F0
U+203F0
Other letter (Lo)

UTF-8 encoding: F0 A0 8F B0 (4 bytes).

Hex color
#0203F0
RGB(2, 3, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.240.

Address
0.2.3.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.240

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 132,080 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.