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132,520

132,520 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.).

132,520 (one hundred thirty-two thousand five hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,313. Its proper divisors sum to 165,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x205A8.

Abundant Number Evil Number Gapful Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
25,231
Square (n²)
17,561,550,400
Cube (n³)
2,327,256,659,008,000
Divisor count
16
σ(n) — sum of divisors
298,260
φ(n) — Euler's totient
52,992
Sum of prime factors
3,324

Primality

Prime factorization: 2 3 × 5 × 3313

Nearest primes: 132,511 (−9) · 132,523 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 3313 · 6626 · 13252 · 16565 · 26504 · 33130 · 66260 (half) · 132520
Aliquot sum (sum of proper divisors): 165,740
Factor pairs (a × b = 132,520)
1 × 132520
2 × 66260
4 × 33130
5 × 26504
8 × 16565
10 × 13252
20 × 6626
40 × 3313
First multiples
132,520 · 265,040 (double) · 397,560 · 530,080 · 662,600 · 795,120 · 927,640 · 1,060,160 · 1,192,680 · 1,325,200

Sums & aliquot sequence

As a sum of two squares: 66² + 358² = 162² + 326²
As consecutive integers: 26,502 + 26,503 + 26,504 + 26,505 + 26,506 8,275 + 8,276 + … + 8,290 1,617 + 1,618 + … + 1,696
Aliquot sequence: 132,520 165,740 182,356 136,774 87,074 62,614 31,310 27,442 13,724 11,140 12,296 12,004 9,010 8,486 4,246 2,738 1,483 — unresolved within range

Continued fraction of √n

√132,520 = [364; (30, 2, 1, 80, 4, 2, 2, 1, 12, 1, 1, 8, 2, 7, 1, 2, 2, 2, 1, 17, 20, 5, 1, 29, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand five hundred twenty
Ordinal
132520th
Binary
100000010110101000
Octal
402650
Hexadecimal
0x205A8
Base64
AgWo
One's complement
4,294,834,775 (32-bit)
Scientific notation
1.3252 × 10⁵
As a duration
132,520 s = 1 day, 12 hours, 48 minutes, 40 seconds
In other bases
ternary (3) 20201210011
quaternary (4) 200112220
quinary (5) 13220040
senary (6) 2501304
septenary (7) 1061233
nonary (9) 221704
undecimal (11) 90623
duodecimal (12) 64834
tridecimal (13) 4841b
tetradecimal (14) 3641a
pentadecimal (15) 293ea

As an angle

132,520° = 368 × 360° + 40°
40° ≈ 0.698 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλβφκʹ
Mayan (base 20)
𝋰·𝋫·𝋦·𝋠
Chinese
一十三萬二千五百二十
Chinese (financial)
壹拾參萬貳仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٣٢٥٢٠ Devanagari १३२५२० Bengali ১৩২৫২০ Tamil ௧௩௨௫௨௦ Thai ๑๓๒๕๒๐ Tibetan ༡༣༢༥༢༠ Khmer ១៣២៥២០ Lao ໑໓໒໕໒໐ Burmese ၁၃၂၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132520, here are decompositions:

  • 29 + 132491 = 132520
  • 83 + 132437 = 132520
  • 137 + 132383 = 132520
  • 149 + 132371 = 132520
  • 173 + 132347 = 132520
  • 191 + 132329 = 132520
  • 233 + 132287 = 132520
  • 257 + 132263 = 132520

Showing the first eight; more decompositions exist.

Unicode codepoint
𠖨
CJK Unified Ideograph-205A8
U+205A8
Other letter (Lo)

UTF-8 encoding: F0 A0 96 A8 (4 bytes).

Hex color
#0205A8
RGB(2, 5, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.168.

Address
0.2.5.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.168

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 132,520 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 132520 first appears in π at position 114,221 of the decimal expansion (the 114,221ordinal-suffix:st 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