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132,660

132,660 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.).

132,660 (one hundred thirty-two thousand six hundred sixty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 11 × 67. Its proper divisors sum to 312,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20634.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
66,231
Square (n²)
17,598,675,600
Cube (n³)
2,334,640,305,096,000
Divisor count
72
σ(n) — sum of divisors
445,536
φ(n) — Euler's totient
31,680
Sum of prime factors
93

Primality

Prime factorization: 2 2 × 3 2 × 5 × 11 × 67

Nearest primes: 132,647 (−13) · 132,661 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 30 · 33 · 36 · 44 · 45 · 55 · 60 · 66 · 67 · 90 · 99 · 110 · 132 · 134 · 165 · 180 · 198 · 201 · 220 · 268 · 330 · 335 · 396 · 402 · 495 · 603 · 660 · 670 · 737 · 804 · 990 · 1005 · 1206 · 1340 · 1474 · 1980 · 2010 · 2211 · 2412 · 2948 · 3015 · 3685 · 4020 · 4422 · 6030 · 6633 · 7370 · 8844 · 11055 · 12060 · 13266 · 14740 · 22110 · 26532 · 33165 · 44220 · 66330 (half) · 132660
Aliquot sum (sum of proper divisors): 312,876
Factor pairs (a × b = 132,660)
1 × 132660
2 × 66330
3 × 44220
4 × 33165
5 × 26532
6 × 22110
9 × 14740
10 × 13266
11 × 12060
12 × 11055
15 × 8844
18 × 7370
20 × 6633
22 × 6030
30 × 4422
33 × 4020
36 × 3685
44 × 3015
45 × 2948
55 × 2412
60 × 2211
66 × 2010
67 × 1980
90 × 1474
99 × 1340
110 × 1206
132 × 1005
134 × 990
165 × 804
180 × 737
198 × 670
201 × 660
220 × 603
268 × 495
330 × 402
335 × 396
First multiples
132,660 · 265,320 (double) · 397,980 · 530,640 · 663,300 · 795,960 · 928,620 · 1,061,280 · 1,193,940 · 1,326,600

Sums & aliquot sequence

As consecutive integers: 44,219 + 44,220 + 44,221 26,530 + 26,531 + 26,532 + 26,533 + 26,534 16,579 + 16,580 + … + 16,586 14,736 + 14,737 + … + 14,744
Aliquot sequence: 132,660 312,876 498,564 877,356 1,340,496 2,677,104 5,008,416 10,595,424 21,192,864 50,802,528 110,606,496 279,562,080 726,873,504 1,453,749,024 3,243,006,816 6,486,015,648 13,741,157,472 — keeps growing

Continued fraction of √n

√132,660 = [364; (4, 2, 3, 1, 2, 3, 1, 1, 1, 44, 1, 8, 66, 8, 1, 44, 1, 1, 1, 3, 2, 1, 3, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand six hundred sixty
Ordinal
132660th
Binary
100000011000110100
Octal
403064
Hexadecimal
0x20634
Base64
AgY0
One's complement
4,294,834,635 (32-bit)
Scientific notation
1.3266 × 10⁵
As a duration
132,660 s = 1 day, 12 hours, 51 minutes
In other bases
ternary (3) 20201222100
quaternary (4) 200120310
quinary (5) 13221120
senary (6) 2502100
septenary (7) 1061523
nonary (9) 221870
undecimal (11) 90740
duodecimal (12) 64930
tridecimal (13) 484c8
tetradecimal (14) 364ba
pentadecimal (15) 29490

As an angle

132,660° = 368 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβχξʹ
Mayan (base 20)
𝋰·𝋫·𝋭·𝋠
Chinese
一十三萬二千六百六十
Chinese (financial)
壹拾參萬貳仟陸佰陸拾
In other modern scripts
Eastern Arabic ١٣٢٦٦٠ Devanagari १३२६६० Bengali ১৩২৬৬০ Tamil ௧௩௨௬௬௦ Thai ๑๓๒๖๖๐ Tibetan ༡༣༢༦༦༠ Khmer ១៣២៦៦០ Lao ໑໓໒໖໖໐ Burmese ၁၃၂၆၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132660, here are decompositions:

  • 13 + 132647 = 132660
  • 23 + 132637 = 132660
  • 29 + 132631 = 132660
  • 37 + 132623 = 132660
  • 41 + 132619 = 132660
  • 53 + 132607 = 132660
  • 71 + 132589 = 132660
  • 113 + 132547 = 132660

Showing the first eight; more decompositions exist.

Unicode codepoint
𠘴
CJK Unified Ideograph-20634
U+20634
Other letter (Lo)

UTF-8 encoding: F0 A0 98 B4 (4 bytes).

Hex color
#020634
RGB(2, 6, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.52.

Address
0.2.6.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.52

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 132,660 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 132660 first appears in π at position 510,231 of the decimal expansion (the 510,231ordinal-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°.