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132916 = 22747101
BaseRepresentation
bin100000011100110100
320202022211
4200130310
513223131
62503204
71062340
oct403464
9222284
10132916
1190953
1264b04
1348664
1436620
15295b1
hex20734

132916 has 24 divisors (see below), whose sum is σ = 274176. Its totient is φ = 55200.

The previous prime is 132911. The next prime is 132929. The reversal of 132916 is 619231.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1266 + ... + 1366.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2132916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088).

132916 is an abundant number, since it is smaller than the sum of its proper divisors (141260).

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

132916 is a wasteful number, since it uses less digits than its factorization.

132916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 132916 is about 364.5764666020. The cubic root of 132916 is about 51.0339387069.

The spelling of 132916 in words is "one hundred thirty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 47 94 101 188 202 329 404 658 707 1316 1414 2828 4747 9494 18988 33229 66458 132916