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132,560

132,560 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.).

132,560 (one hundred thirty-two thousand five hundred sixty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,657. Its proper divisors sum to 175,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x205D0.

Abundant Number Evil Number Gapful Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
65,231
Square (n²)
17,572,153,600
Cube (n³)
2,329,364,681,216,000
Divisor count
20
σ(n) — sum of divisors
308,388
φ(n) — Euler's totient
52,992
Sum of prime factors
1,670

Primality

Prime factorization: 2 4 × 5 × 1657

Nearest primes: 132,547 (−13) · 132,589 (+29)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 1657 · 3314 · 6628 · 8285 · 13256 · 16570 · 26512 · 33140 · 66280 (half) · 132560
Aliquot sum (sum of proper divisors): 175,828
Factor pairs (a × b = 132,560)
1 × 132560
2 × 66280
4 × 33140
5 × 26512
8 × 16570
10 × 13256
16 × 8285
20 × 6628
40 × 3314
80 × 1657
First multiples
132,560 · 265,120 (double) · 397,680 · 530,240 · 662,800 · 795,360 · 927,920 · 1,060,480 · 1,193,040 · 1,325,600

Sums & aliquot sequence

As a sum of two squares: 8² + 364² = 212² + 296²
As consecutive integers: 26,510 + 26,511 + 26,512 + 26,513 + 26,514 4,127 + 4,128 + … + 4,158 749 + 750 + … + 908
Aliquot sequence: 132,560 175,828 135,392 131,224 120,776 113,464 115,856 126,316 104,516 99,604 79,680 176,352 331,680 714,624 1,184,616 2,023,914 2,110,614 — unresolved within range

Continued fraction of √n

√132,560 = [364; (11, 2, 1, 1, 1, 10, 1, 3, 45, 3, 1, 10, 1, 1, 1, 2, 11, 728)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand five hundred sixty
Ordinal
132560th
Binary
100000010111010000
Octal
402720
Hexadecimal
0x205D0
Base64
AgXQ
One's complement
4,294,834,735 (32-bit)
Scientific notation
1.3256 × 10⁵
As a duration
132,560 s = 1 day, 12 hours, 49 minutes, 20 seconds
In other bases
ternary (3) 20201211122
quaternary (4) 200113100
quinary (5) 13220220
senary (6) 2501412
septenary (7) 1061321
nonary (9) 221748
undecimal (11) 9065a
duodecimal (12) 64868
tridecimal (13) 4844c
tetradecimal (14) 36448
pentadecimal (15) 29425

As an angle

132,560° = 368 × 360° + 80°
80° ≈ 1.396 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβφξʹ
Mayan (base 20)
𝋰·𝋫·𝋨·𝋠
Chinese
一十三萬二千五百六十
Chinese (financial)
壹拾參萬貳仟伍佰陸拾
In other modern scripts
Eastern Arabic ١٣٢٥٦٠ Devanagari १३२५६० Bengali ১৩২৫৬০ Tamil ௧௩௨௫௬௦ Thai ๑๓๒๕๖๐ Tibetan ༡༣༢༥༦༠ Khmer ១៣២៥៦០ Lao ໑໓໒໕໖໐ Burmese ၁၃၂၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132560, here are decompositions:

  • 13 + 132547 = 132560
  • 19 + 132541 = 132560
  • 31 + 132529 = 132560
  • 37 + 132523 = 132560
  • 61 + 132499 = 132560
  • 139 + 132421 = 132560
  • 151 + 132409 = 132560
  • 157 + 132403 = 132560

Showing the first eight; more decompositions exist.

Unicode codepoint
𠗐
CJK Unified Ideograph-205D0
U+205D0
Other letter (Lo)

UTF-8 encoding: F0 A0 97 90 (4 bytes).

Hex color
#0205D0
RGB(2, 5, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.208.

Address
0.2.5.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.208

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 132,560 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 132560 first appears in π at position 89,587 of the decimal expansion (the 89,587ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.