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132,880

132,880 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.).

132,880 (one hundred thirty-two thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 11 × 151. Its proper divisors sum to 206,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20710.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
88,231
Square (n²)
17,657,094,400
Cube (n³)
2,346,274,703,872,000
Divisor count
40
σ(n) — sum of divisors
339,264
φ(n) — Euler's totient
48,000
Sum of prime factors
175

Primality

Prime factorization: 2 4 × 5 × 11 × 151

Nearest primes: 132,863 (−17) · 132,887 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 40 · 44 · 55 · 80 · 88 · 110 · 151 · 176 · 220 · 302 · 440 · 604 · 755 · 880 · 1208 · 1510 · 1661 · 2416 · 3020 · 3322 · 6040 · 6644 · 8305 · 12080 · 13288 · 16610 · 26576 · 33220 · 66440 (half) · 132880
Aliquot sum (sum of proper divisors): 206,384
Factor pairs (a × b = 132,880)
1 × 132880
2 × 66440
4 × 33220
5 × 26576
8 × 16610
10 × 13288
11 × 12080
16 × 8305
20 × 6644
22 × 6040
40 × 3322
44 × 3020
55 × 2416
80 × 1661
88 × 1510
110 × 1208
151 × 880
176 × 755
220 × 604
302 × 440
First multiples
132,880 · 265,760 (double) · 398,640 · 531,520 · 664,400 · 797,280 · 930,160 · 1,063,040 · 1,195,920 · 1,328,800

Sums & aliquot sequence

As consecutive integers: 26,574 + 26,575 + 26,576 + 26,577 + 26,578 12,075 + 12,076 + … + 12,085 4,137 + 4,138 + … + 4,168 2,389 + 2,390 + … + 2,443
Aliquot sequence: 132,880 206,384 193,516 149,204 135,724 101,800 135,350 116,494 88,274 58,606 29,306 14,656 14,554 8,486 4,246 2,738 1,483 — unresolved within range

Continued fraction of √n

√132,880 = [364; (1, 1, 8, 1, 2, 1, 2, 8, 1, 1, 1, 2, 1, 35, 1, 2, 1, 1, 1, 8, 2, 1, 2, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eight hundred eighty
Ordinal
132880th
Binary
100000011100010000
Octal
403420
Hexadecimal
0x20710
Base64
AgcQ
One's complement
4,294,834,415 (32-bit)
Scientific notation
1.3288 × 10⁵
As a duration
132,880 s = 1 day, 12 hours, 54 minutes, 40 seconds
In other bases
ternary (3) 20202021111
quaternary (4) 200130100
quinary (5) 13223010
senary (6) 2503104
septenary (7) 1062256
nonary (9) 222244
undecimal (11) 90920
duodecimal (12) 64a94
tridecimal (13) 48637
tetradecimal (14) 365d6
pentadecimal (15) 2958a

As an angle

132,880° = 369 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβωπʹ
Mayan (base 20)
𝋰·𝋬·𝋤·𝋠
Chinese
一十三萬二千八百八十
Chinese (financial)
壹拾參萬貳仟捌佰捌拾
In other modern scripts
Eastern Arabic ١٣٢٨٨٠ Devanagari १३२८८० Bengali ১৩২৮৮০ Tamil ௧௩௨௮௮௦ Thai ๑๓๒๘๘๐ Tibetan ༡༣༢༨༨༠ Khmer ១៣២៨៨០ Lao ໑໓໒໘໘໐ Burmese ၁၃၂၈၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132880, here are decompositions:

  • 17 + 132863 = 132880
  • 23 + 132857 = 132880
  • 29 + 132851 = 132880
  • 47 + 132833 = 132880
  • 131 + 132749 = 132880
  • 173 + 132707 = 132880
  • 179 + 132701 = 132880
  • 191 + 132689 = 132880

Showing the first eight; more decompositions exist.

Unicode codepoint
𠜐
CJK Unified Ideograph-20710
U+20710
Other letter (Lo)

UTF-8 encoding: F0 A0 9C 90 (4 bytes).

Hex color
#020710
RGB(2, 7, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.16.

Address
0.2.7.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.16

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 132,880 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