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132936 = 23329191
BaseRepresentation
bin100000011101001000
320202100120
4200131020
513223221
62503240
71062366
oct403510
9222316
10132936
1190971
1264b20
134867b
1436636
15295c6
hex20748

132936 has 32 divisors (see below), whose sum is σ = 345600. Its totient is φ = 42560.

The previous prime is 132929. The next prime is 132947. The reversal of 132936 is 639231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 1 + 35 + 92 + 217 + 35 + 64 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132936.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2132936 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 132936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

132936 is an abundant number, since it is smaller than the sum of its proper divisors (212664).

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

132936 is a wasteful number, since it uses less digits than its factorization.

132936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 132936 is about 364.6038946583. The cubic root of 132936 is about 51.0364982874.

The spelling of 132936 in words is "one hundred thirty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 191 232 348 382 573 696 764 1146 1528 2292 4584 5539 11078 16617 22156 33234 44312 66468 132936