132 (number)

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← 131 132 133 →
Cardinalone hundred thirty-two
Ordinal132nd
(one hundred thirty-second)
Factorization22 × 3 × 11
Divisors1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greek numeralΡΛΒ´
Roman numeralCXXXII
Binary100001002
Ternary112203
Senary3406
Octal2048
DuodecimalB012
Hexadecimal8416

132 (one hundred [and] thirty-two) is the natural number following 131 and preceding 133.

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]

But there is no number that, when added to the sum of its own digits, sums to 132, therefore 132 is a self number. 132 is also a Harshad number, divisible by the sum of its base-ten digits.

In the military

In transportation

In other fields

132 is also:

See also

References

  1. ^ "Sloane's A000108 : Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  2. ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 138
  3. ^ 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.