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132752880 = 243251321091
BaseRepresentation
bin1111110100110…
…10010111110000
3100020210112201100
413322122113300
5232441043010
621101204400
73201244431
oct772322760
9306715640
10132752880
1168a32227
1238560700
1321670800
14138b9488
15b9c42c0
hex7e9a5f0

132752880 has 180 divisors, whose sum is σ = 483203448. Its totient is φ = 32647680.

The previous prime is 132752857. The next prime is 132752899. The reversal of 132752880 is 88257231.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121135 + ... + 122225.

Almost surely, 2132752880 is an apocalyptic number.

132752880 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 132752880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241601724).

132752880 is an abundant number, since it is smaller than the sum of its proper divisors (350450568).

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

132752880 is a wasteful number, since it uses less digits than its factorization.

132752880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 132752880 is about 11521.8436024796. The cubic root of 132752880 is about 510.1305317555.

The spelling of 132752880 in words is "one hundred thirty-two million, seven hundred fifty-two thousand, eight hundred eighty".