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132,572

132,572 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.).

132,572 (one hundred thirty-two thousand five hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 23 × 131. Its proper divisors sum to 133,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x205DC.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
420
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
275,231
Square (n²)
17,575,335,184
Cube (n³)
2,329,997,336,013,248
Divisor count
24
σ(n) — sum of divisors
266,112
φ(n) — Euler's totient
57,200
Sum of prime factors
169

Primality

Prime factorization: 2 2 × 11 × 23 × 131

Nearest primes: 132,547 (−25) · 132,589 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 11 · 22 · 23 · 44 · 46 · 92 · 131 · 253 · 262 · 506 · 524 · 1012 · 1441 · 2882 · 3013 · 5764 · 6026 · 12052 · 33143 · 66286 (half) · 132572
Aliquot sum (sum of proper divisors): 133,540
Factor pairs (a × b = 132,572)
1 × 132572
2 × 66286
4 × 33143
11 × 12052
22 × 6026
23 × 5764
44 × 3013
46 × 2882
92 × 1441
131 × 1012
253 × 524
262 × 506
First multiples
132,572 · 265,144 (double) · 397,716 · 530,288 · 662,860 · 795,432 · 928,004 · 1,060,576 · 1,193,148 · 1,325,720

Sums & aliquot sequence

As consecutive integers: 16,568 + 16,569 + … + 16,575 12,047 + 12,048 + … + 12,057 5,753 + 5,754 + … + 5,775 1,463 + 1,464 + … + 1,550
Aliquot sequence: 132,572 133,540 172,892 129,676 110,732 104,308 80,912 88,348 78,252 104,364 181,012 166,006 83,006 76,594 54,734 27,370 34,838 — unresolved within range

Continued fraction of √n

√132,572 = [364; (9, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 7, 1, 7, 1, 8, 3, 38, 182, 38, 3, 8, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand five hundred seventy-two
Ordinal
132572nd
Binary
100000010111011100
Octal
402734
Hexadecimal
0x205DC
Base64
AgXc
One's complement
4,294,834,723 (32-bit)
Scientific notation
1.32572 × 10⁵
As a duration
132,572 s = 1 day, 12 hours, 49 minutes, 32 seconds
In other bases
ternary (3) 20201212002
quaternary (4) 200113130
quinary (5) 13220242
senary (6) 2501432
septenary (7) 1061336
nonary (9) 221762
undecimal (11) 90670
duodecimal (12) 64878
tridecimal (13) 4845b
tetradecimal (14) 36456
pentadecimal (15) 29432

As an angle

132,572° = 368 × 360° + 92°
92° ≈ 1.606 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβφοβʹ
Mayan (base 20)
𝋰·𝋫·𝋨·𝋬
Chinese
一十三萬二千五百七十二
Chinese (financial)
壹拾參萬貳仟伍佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٢٥٧٢ Devanagari १३२५७२ Bengali ১৩২৫৭২ Tamil ௧௩௨௫௭௨ Thai ๑๓๒๕๗๒ Tibetan ༡༣༢༥༧༢ Khmer ១៣២៥៧២ Lao ໑໓໒໕໗໒ Burmese ၁၃၂၅၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132572, here are decompositions:

  • 31 + 132541 = 132572
  • 43 + 132529 = 132572
  • 61 + 132511 = 132572
  • 73 + 132499 = 132572
  • 103 + 132469 = 132572
  • 151 + 132421 = 132572
  • 163 + 132409 = 132572
  • 211 + 132361 = 132572

Showing the first eight; more decompositions exist.

Unicode codepoint
𠗜
CJK Unified Ideograph-205Dc
U+205DC
Other letter (Lo)

UTF-8 encoding: F0 A0 97 9C (4 bytes).

Hex color
#0205DC
RGB(2, 5, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.220.

Address
0.2.5.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.220

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 132,572 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.