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132
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132 is an integer.
Contents
Membership in core sequences
Even numbers | ..., 126, 128, 130, 132, 134, 136, 138, ... | A005843 |
Composite numbers | ..., 128, 129, 130, 132, 133, 134, 135, ... | A002808 |
Oblong numbers | ..., 72, 90, 110, 132, 156, 182, 210, ... | A002378 |
Catalan numbers | ..., 5, 14, 42, 132, 429, 1430, 4862, ... | A000108 |
Quarter-squares | ..., 100, 110, 121, 132, 144, 156, 169, ... | A002620 |
Sequences pertaining to 132
Multiples of 132 | 0, 132, 264, 396, 528, 660, 792, 924, 1056, 1188, 1320, 1452, 1584, ... | |
sequence beginning at 11 | 11, 76, 38, 19, 132, 66, 33, 230, 115, 804, 402, 201, 1406, 703, 4920, ... | A287330 |
Partitions of 132
There are 6620830889 partitions of 132.
The Goldbach representations of 132 are: 127 + 5 = 113 + 19 = 109 + 23 = 103 + 29 = 101 + 31 = 89 + 43 = 79 + 53 = 73 + 59 = 71 + 61 = 132.
Roots and powers of 132
In the table below, irrational numbers are given truncated to eight decimal places.
TABLE GOES HERE
Values for number theoretic functions with 132 as an argument
0 | ||
−3 | ||
32 | ||
336 | ||
12 | ||
40 | ||
4 | ||
2 | ||
10 | This is the Carmichael lambda function. | |
1 | This is the Liouville lambda function. |
Factorization of 132 in some quadratic integer rings
In , 132 has the prime factorization of 2 2 × 3 × 11. But it has different factorizations in some quadratic integer rings.
TABLE GOES HERE
Representation of 132 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 10000100 | 11220 | 2010 | 1012 | 340 | 246 | 204 | 156 | 132 | 110 | B0 | A2 | 96 | 8C | 84 | 7D | 76 | 6I | 6C |
Notice that 132 is the smallest number which is the sum of all of the 2-digit numbers that can be formed with its base 10 digits: 13 + 12 + 31 + 32 + 21 + 23 = 132.
See also
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 |
30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 |
1729 |