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132074880 = 2735731317
BaseRepresentation
bin1111101111101…
…00110110000000
3100012112002200020
413313310312000
5232302344010
621034453440
73162421650
oct767646600
9305462606
10132074880
11686098a3
1238294280
1321494022
1413780360
15b8dd470
hex7df4d80

132074880 has 256 divisors, whose sum is σ = 498216960. Its totient is φ = 29122560.

The previous prime is 132074879. The next prime is 132074893. The reversal of 132074880 is 88470231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416482 + ... + 416798.

It is an arithmetic number, because the mean of its divisors is an integer number (1946160).

Almost surely, 2132074880 is an apocalyptic number.

132074880 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 132074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249108480).

132074880 is an abundant number, since it is smaller than the sum of its proper divisors (366142080).

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

132074880 is a wasteful number, since it uses less digits than its factorization.

132074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 132074880 is about 11492.3835647789. The cubic root of 132074880 is about 509.2605971137.

The spelling of 132074880 in words is "one hundred thirty-two million, seventy-four thousand, eight hundred eighty".