132 (number)

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Cardinal One hundred [and]
thirty two
Ordinal 132nd
Factorization 2^2 \cdot 3 \cdot 11
Divisors 1, 2, 3, 4, 6, 11,
12, 22, 33, 44, 66
Roman numeral CXXXII
Binary 10000100
Hexadecimal 84
For the year 132 AD, see 132.

132 is the natural number following 131 and preceding 133.

[edit] In mathematics

132 is the sixth Catalan number. 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: 12 + 13 + 21 + 23 + 31 + 32 = 132. 132 is the smallest number with this property.[1]

But there is no number that, when added up to its own digits, adds up to 132, making it a self number. However, 132 is a Harshad number, divisible by the sum of its base 10 digits, as well as a Zuckerman number, divisible by the product of its base 10 digits.

[edit] In other fields

When counting in binary with fingers, expressing 132 as 0010000100 results in the isolation of the middle fingers of each hand, a gesture generally considered rude. The corresponding one-handed gesture is the representation of 4.

[edit] References

  1. ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 138