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132314490 = 232571161313
BaseRepresentation
bin1111110001011…
…11010101111010
3100012222021100200
413320233111322
5232333030430
621043543030
73164440350
oct770572572
9305867320
10132314490
1168762920
123838aa76
13215490c9
14138037d0
15b939460
hex7e2f57a

132314490 has 192 divisors, whose sum is σ = 437329152. Its totient is φ = 26956800.

The previous prime is 132314489. The next prime is 132314527. The reversal of 132314490 is 94413231.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422574 + ... + 422886.

It is an arithmetic number, because the mean of its divisors is an integer number (2277756).

Almost surely, 2132314490 is an apocalyptic number.

132314490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132314490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218664576).

132314490 is an abundant number, since it is smaller than the sum of its proper divisors (305014662).

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

132314490 is a wasteful number, since it uses less digits than its factorization.

132314490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132314490 is about 11502.8035713038. The cubic root of 132314490 is about 509.5683776043.

The spelling of 132314490 in words is "one hundred thirty-two million, three hundred fourteen thousand, four hundred ninety".