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132,664

132,664 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.).

132,664 (one hundred thirty-two thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 23 × 103. Its proper divisors sum to 166,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20638.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
864
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
466,231
Square (n²)
17,599,736,896
Cube (n³)
2,334,851,495,570,944
Divisor count
32
σ(n) — sum of divisors
299,520
φ(n) — Euler's totient
53,856
Sum of prime factors
139

Primality

Prime factorization: 2 3 × 7 × 23 × 103

Nearest primes: 132,661 (−3) · 132,667 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 23 · 28 · 46 · 56 · 92 · 103 · 161 · 184 · 206 · 322 · 412 · 644 · 721 · 824 · 1288 · 1442 · 2369 · 2884 · 4738 · 5768 · 9476 · 16583 · 18952 · 33166 · 66332 (half) · 132664
Aliquot sum (sum of proper divisors): 166,856
Factor pairs (a × b = 132,664)
1 × 132664
2 × 66332
4 × 33166
7 × 18952
8 × 16583
14 × 9476
23 × 5768
28 × 4738
46 × 2884
56 × 2369
92 × 1442
103 × 1288
161 × 824
184 × 721
206 × 644
322 × 412
First multiples
132,664 · 265,328 (double) · 397,992 · 530,656 · 663,320 · 795,984 · 928,648 · 1,061,312 · 1,193,976 · 1,326,640

Sums & aliquot sequence

As consecutive integers: 18,949 + 18,950 + … + 18,955 8,284 + 8,285 + … + 8,299 5,757 + 5,758 + … + 5,779 1,237 + 1,238 + … + 1,339
Aliquot sequence: 132,664 166,856 146,014 92,954 46,480 78,512 95,584 100,976 94,696 121,304 110,896 112,304 105,316 81,416 71,254 40,346 20,176 — unresolved within range

Continued fraction of √n

√132,664 = [364; (4, 2, 1, 80, 4, 28, 1, 8, 36, 3, 4, 1, 3, 4, 3, 1, 4, 3, 36, 8, 1, 28, 4, 80, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand six hundred sixty-four
Ordinal
132664th
Binary
100000011000111000
Octal
403070
Hexadecimal
0x20638
Base64
AgY4
One's complement
4,294,834,631 (32-bit)
Scientific notation
1.32664 × 10⁵
As a duration
132,664 s = 1 day, 12 hours, 51 minutes, 4 seconds
In other bases
ternary (3) 20201222111
quaternary (4) 200120320
quinary (5) 13221124
senary (6) 2502104
septenary (7) 1061530
nonary (9) 221874
undecimal (11) 90744
duodecimal (12) 64934
tridecimal (13) 484cc
tetradecimal (14) 364c0
pentadecimal (15) 29494

As an angle

132,664° = 368 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβχξδʹ
Mayan (base 20)
𝋰·𝋫·𝋭·𝋤
Chinese
一十三萬二千六百六十四
Chinese (financial)
壹拾參萬貳仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٢٦٦٤ Devanagari १३२६६४ Bengali ১৩২৬৬৪ Tamil ௧௩௨௬௬௪ Thai ๑๓๒๖๖๔ Tibetan ༡༣༢༦༦༤ Khmer ១៣២៦៦៤ Lao ໑໓໒໖໖໔ Burmese ၁၃၂၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132664, here are decompositions:

  • 3 + 132661 = 132664
  • 17 + 132647 = 132664
  • 41 + 132623 = 132664
  • 53 + 132611 = 132664
  • 131 + 132533 = 132664
  • 137 + 132527 = 132664
  • 173 + 132491 = 132664
  • 227 + 132437 = 132664

Showing the first eight; more decompositions exist.

Unicode codepoint
𠘸
CJK Unified Ideograph-20638
U+20638
Other letter (Lo)

UTF-8 encoding: F0 A0 98 B8 (4 bytes).

Hex color
#020638
RGB(2, 6, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.56.

Address
0.2.6.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.56

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 132,664 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 132664 first appears in π at position 884,260 of the decimal expansion (the 884,260ordinal-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