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132690432 = 293724143
BaseRepresentation
bin1111110100010…
…11001000000000
3100020200101001110
413322023020000
5232432043212
621100003320
73200564400
oct772131000
9306611043
10132690432
116899a316
1238530540
132164b264
14138a0800
15b9b0a3c
hex7e8b200

132690432 has 240 divisors, whose sum is σ = 431034912. Its totient is φ = 36126720.

The previous prime is 132690431. The next prime is 132690449. The reversal of 132690432 is 234096231.

It is a self number, because there is not a number n which added to its sum of digits gives 132690432.

It is not an unprimeable number, because it can be changed into a prime (132690431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3085803 + ... + 3085845.

Almost surely, 2132690432 is an apocalyptic number.

132690432 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 132690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215517456).

132690432 is an abundant number, since it is smaller than the sum of its proper divisors (298344480).

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

132690432 is an equidigital number, since it uses as much as digits as its factorization.

132690432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 132690432 is about 11519.1333007306. The cubic root of 132690432 is about 510.0505294034.

The spelling of 132690432 in words is "one hundred thirty-two million, six hundred ninety thousand, four hundred thirty-two".