number.wiki
Live analysis

132,680

132,680 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.).

132,680 (one hundred thirty-two thousand six hundred eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 31 × 107. Its proper divisors sum to 178,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20648.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
86,231
Square (n²)
17,603,982,400
Cube (n³)
2,335,696,384,832,000
Divisor count
32
σ(n) — sum of divisors
311,040
φ(n) — Euler's totient
50,880
Sum of prime factors
149

Primality

Prime factorization: 2 3 × 5 × 31 × 107

Nearest primes: 132,679 (−1) · 132,689 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 31 · 40 · 62 · 107 · 124 · 155 · 214 · 248 · 310 · 428 · 535 · 620 · 856 · 1070 · 1240 · 2140 · 3317 · 4280 · 6634 · 13268 · 16585 · 26536 · 33170 · 66340 (half) · 132680
Aliquot sum (sum of proper divisors): 178,360
Factor pairs (a × b = 132,680)
1 × 132680
2 × 66340
4 × 33170
5 × 26536
8 × 16585
10 × 13268
20 × 6634
31 × 4280
40 × 3317
62 × 2140
107 × 1240
124 × 1070
155 × 856
214 × 620
248 × 535
310 × 428
First multiples
132,680 · 265,360 (double) · 398,040 · 530,720 · 663,400 · 796,080 · 928,760 · 1,061,440 · 1,194,120 · 1,326,800

Sums & aliquot sequence

As consecutive integers: 26,534 + 26,535 + 26,536 + 26,537 + 26,538 8,285 + 8,286 + … + 8,300 4,265 + 4,266 + … + 4,295 1,619 + 1,620 + … + 1,698
Aliquot sequence: 132,680 178,360 325,640 512,440 692,840 866,140 1,198,244 906,460 1,030,916 792,472 781,088 1,142,176 1,428,224 1,834,000 3,272,816 3,405,328 3,222,720 — unresolved within range

Continued fraction of √n

√132,680 = [364; (3, 1, 22, 1, 3, 728)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand six hundred eighty
Ordinal
132680th
Binary
100000011001001000
Octal
403110
Hexadecimal
0x20648
Base64
AgZI
One's complement
4,294,834,615 (32-bit)
Scientific notation
1.3268 × 10⁵
As a duration
132,680 s = 1 day, 12 hours, 51 minutes, 20 seconds
In other bases
ternary (3) 20202000002
quaternary (4) 200121020
quinary (5) 13221210
senary (6) 2502132
septenary (7) 1061552
nonary (9) 222002
undecimal (11) 90759
duodecimal (12) 64948
tridecimal (13) 48512
tetradecimal (14) 364d2
pentadecimal (15) 294a5

As an angle

132,680° = 368 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβχπʹ
Mayan (base 20)
𝋰·𝋫·𝋮·𝋠
Chinese
一十三萬二千六百八十
Chinese (financial)
壹拾參萬貳仟陸佰捌拾
In other modern scripts
Eastern Arabic ١٣٢٦٨٠ Devanagari १३२६८० Bengali ১৩২৬৮০ Tamil ௧௩௨௬௮௦ Thai ๑๓๒๖๘๐ Tibetan ༡༣༢༦༨༠ Khmer ១៣២៦៨០ Lao ໑໓໒໖໘໐ Burmese ၁၃၂၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132680, here are decompositions:

  • 13 + 132667 = 132680
  • 19 + 132661 = 132680
  • 43 + 132637 = 132680
  • 61 + 132619 = 132680
  • 73 + 132607 = 132680
  • 139 + 132541 = 132680
  • 151 + 132529 = 132680
  • 157 + 132523 = 132680

Showing the first eight; more decompositions exist.

Unicode codepoint
𠙈
CJK Unified Ideograph-20648
U+20648
Other letter (Lo)

UTF-8 encoding: F0 A0 99 88 (4 bytes).

Hex color
#020648
RGB(2, 6, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.72.

Address
0.2.6.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.72

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 132,680 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.