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132928 = 263167
BaseRepresentation
bin100000011101000000
320202100021
4200131000
513223203
62503224
71062355
oct403500
9222307
10132928
1190964
1264b14
1348673
143662c
15295bd
hex20740

132928 has 28 divisors (see below), whose sum is σ = 276352. Its totient is φ = 63360.

The previous prime is 132911. The next prime is 132929. The reversal of 132928 is 829231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132929) by changing a digit.

132928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1951 + ... + 2017.

2132928 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 132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138176).

132928 is an abundant number, since it is smaller than the sum of its proper divisors (143424).

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

132928 is an equidigital number, since it uses as much as digits as its factorization.

132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 132928 is about 364.5929236834. The cubic root of 132928 is about 51.0354744860.

The spelling of 132928 in words is "one hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 134 248 268 496 536 992 1072 1984 2077 2144 4154 4288 8308 16616 33232 66464 132928