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132,564

132,564 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.).

132,564 (one hundred thirty-two thousand five hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,047. Its proper divisors sum to 176,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x205D4.

Abundant Number Cube-Free Happy Number Odious Number Pernicious Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
720
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
465,231
Square (n²)
17,573,214,096
Cube (n³)
2,329,575,553,422,144
Divisor count
12
σ(n) — sum of divisors
309,344
φ(n) — Euler's totient
44,184
Sum of prime factors
11,054

Primality

Prime factorization: 2 2 × 3 × 11047

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

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11047 · 22094 · 33141 · 44188 · 66282 (half) · 132564
Aliquot sum (sum of proper divisors): 176,780
Factor pairs (a × b = 132,564)
1 × 132564
2 × 66282
3 × 44188
4 × 33141
6 × 22094
12 × 11047
First multiples
132,564 · 265,128 (double) · 397,692 · 530,256 · 662,820 · 795,384 · 927,948 · 1,060,512 · 1,193,076 · 1,325,640

Sums & aliquot sequence

As consecutive integers: 44,187 + 44,188 + 44,189 16,567 + 16,568 + … + 16,574 5,512 + 5,513 + … + 5,535
Aliquot sequence: 132,564 176,780 194,500 231,380 276,652 207,496 192,644 164,440 205,640 270,640 398,960 528,808 702,392 684,208 878,192 1,066,624 1,225,316 — unresolved within range

Continued fraction of √n

√132,564 = [364; (10, 1, 2, 2, 2, 2, 9, 3, 2, 1, 1, 6, 1, 11, 3, 1, 2, 1, 2, 8, 4, 1, 35, 1, …)]

Representations

In words
one hundred thirty-two thousand five hundred sixty-four
Ordinal
132564th
Binary
100000010111010100
Octal
402724
Hexadecimal
0x205D4
Base64
AgXU
One's complement
4,294,834,731 (32-bit)
Scientific notation
1.32564 × 10⁵
As a duration
132,564 s = 1 day, 12 hours, 49 minutes, 24 seconds
In other bases
ternary (3) 20201211210
quaternary (4) 200113110
quinary (5) 13220224
senary (6) 2501420
septenary (7) 1061325
nonary (9) 221753
undecimal (11) 90663
duodecimal (12) 64870
tridecimal (13) 48453
tetradecimal (14) 3644c
pentadecimal (15) 29429

As an angle

132,564° = 368 × 360° + 84°
84° ≈ 1.466 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβφξδʹ
Mayan (base 20)
𝋰·𝋫·𝋨·𝋤
Chinese
一十三萬二千五百六十四
Chinese (financial)
壹拾參萬貳仟伍佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٢٥٦٤ Devanagari १३२५६४ Bengali ১৩২৫৬৪ Tamil ௧௩௨௫௬௪ Thai ๑๓๒๕๖๔ Tibetan ༡༣༢༥༦༤ Khmer ១៣២៥៦៤ Lao ໑໓໒໕໖໔ Burmese ၁၃၂၅၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132564, here are decompositions:

  • 17 + 132547 = 132564
  • 23 + 132541 = 132564
  • 31 + 132533 = 132564
  • 37 + 132527 = 132564
  • 41 + 132523 = 132564
  • 53 + 132511 = 132564
  • 73 + 132491 = 132564
  • 127 + 132437 = 132564

Showing the first eight; more decompositions exist.

Unicode codepoint
𠗔
CJK Unified Ideograph-205D4
U+205D4
Other letter (Lo)

UTF-8 encoding: F0 A0 97 94 (4 bytes).

Hex color
#0205D4
RGB(2, 5, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.212.

Address
0.2.5.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.212

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 132,564 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 132564 first appears in π at position 656,091 of the decimal expansion (the 656,091ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.