132 (number)
132 (one hundred [and] thirty-two) is the natural number following 131 and preceding 133.
| ||||
|---|---|---|---|---|
| Cardinal | one hundred thirty-two | |||
| Ordinal | 132nd (one hundred thirty-second) | |||
| Factorization | 22 × 3 × 11 | |||
| Divisors | 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132 | |||
| Greek numeral | ΡΛΒ´ | |||
| Roman numeral | CXXXII | |||
| Binary | 100001002 | |||
| Ternary | 112203 | |||
| Senary | 3406 | |||
| Octal | 2048 | |||
| Duodecimal | B012 | |||
| Hexadecimal | 8416 | |||
In mathematics
132 is the sixth Catalan number.[1] It is a pronic number, the product of 11 and 12. As it has 12 divisors total, 132 is a refactorable number.
If you take the sum of all 2-digit numbers you can make from 132, you get 132: . 132 is the smallest number with this property,[2] which is shared by 264, 396 and 35964 (see digit-reassembly number).[3]
The exceptional outer automorphism of symmetric group S6 uniquely maps vertices to factorizations and edges to partitions in the graph factors of the complete graph K6, which yields 132 blocks in Steiner system S(5,6,12).
In other fields
132 is also:
- The year AD 132 or 132 BC
- 132 AH is a year in the Islamic calendar that corresponds to 749 – 750 CE
- OGLE-TR-132 is a magnitude 15.72 star in the star fields of the constellation Carina
- 132 Aethra is a M-type main belt asteroid
- Sonnet 132 by William Shakespeare
- 132 is the fire emergency telephone number in Chile
- 132 Street is a thoroughfare in Harlem, New York City
- The number of columns of a line printer printing in landscape mode on 14-inch paper.
- Refers to the Yo Soy 132 movement to vote in 2012 Mexican elections against PRI candidate Enrique Peña Nieto.
See also
References
- "Sloane's A000108 : Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
- Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 138
- Sloane, N. J. A. (ed.). "Sequence A241754 (Numbers n equal to the sum of all numbers created from permutations of d digits sampled from n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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