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132425280 = 2635513131
BaseRepresentation
bin1111110010010…
…10011001000000
3100020011220100000
413321022121000
5232400102110
621050200000
73165411351
oct771123100
9306156300
10132425280
1168829089
1238423000
1321587670
1413831d28
15b95c1c0
hex7e4a640

132425280 has 336 divisors, whose sum is σ = 512576064. Its totient is φ = 32348160.

The previous prime is 132425239. The next prime is 132425297. The reversal of 132425280 is 82524231.

132425280 is a `hidden beast` number, since 132 + 4 + 2 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010815 + ... + 1010945.

It is an arithmetic number, because the mean of its divisors is an integer number (1525524).

Almost surely, 2132425280 is an apocalyptic number.

132425280 is a gapful number since it is divisible by the number (10) 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 132425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256288032).

132425280 is an abundant number, since it is smaller than the sum of its proper divisors (380150784).

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

132425280 is a wasteful number, since it uses less digits than its factorization.

132425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132425280 is about 11507.6183461218. The cubic root of 132425280 is about 509.7105624117.

The spelling of 132425280 in words is "one hundred thirty-two million, four hundred twenty-five thousand, two hundred eighty".