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132912 = 24321371
BaseRepresentation
bin100000011100110000
320202022200
4200130300
513223122
62503200
71062333
oct403460
9222280
10132912
119094a
1264b00
1348660
143661a
15295ac
hex20730

132912 has 60 divisors (see below), whose sum is σ = 406224. Its totient is φ = 40320.

The previous prime is 132911. The next prime is 132929. The reversal of 132912 is 219231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (132911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1837 + ... + 1907.

2132912 is an apocalyptic number.

132912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112).

132912 is an abundant number, since it is smaller than the sum of its proper divisors (273312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132912 is a wasteful number, since it uses less digits than its factorization.

132912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 132912 is about 364.5709807431. The cubic root of 132912 is about 51.0334267600.

The spelling of 132912 in words is "one hundred thirty-two thousand, nine hundred twelve".