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132187104 = 253272171929
BaseRepresentation
bin1111110000100…
…00001111100000
3100012201210121200
413320100033200
5232314441404
621041121200
73163400100
oct770201740
9305653550
10132187104
1168686145
1238329200
132150312a
14137ad200
15b911839
hex7e103e0

132187104 has 432 divisors, whose sum is σ = 504176400. Its totient is φ = 32514048.

The previous prime is 132187093. The next prime is 132187127. The reversal of 132187104 is 401781231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4558162 + ... + 4558190.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2132187104 is an apocalyptic number.

132187104 is a gapful number since it is divisible by the number (14) 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 132187104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252088200).

132187104 is an abundant number, since it is smaller than the sum of its proper divisors (371989296).

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

132187104 is a wasteful number, since it uses less digits than its factorization.

132187104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 132187104 is about 11497.2650660929. The cubic root of 132187104 is about 509.4047958231.

The spelling of 132187104 in words is "one hundred thirty-two million, one hundred eighty-seven thousand, one hundred four".