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132522780 = 223513238389
BaseRepresentation
bin1111110011000…
…10001100011100
3100020100212002010
413321202030130
5232411212110
621052231220
73166265535
oct771421434
9306325063
10132522780
1168895365
123846b510
13215bcb60
141385968c
15b97b020
hex7e6231c

132522780 has 192 divisors, whose sum is σ = 426746880. Its totient is φ = 30480384.

The previous prime is 132522773. The next prime is 132522809. The reversal of 132522780 is 87225231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1488976 + ... + 1489064.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2132522780 is an apocalyptic number.

132522780 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 132522780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

132522780 is an abundant number, since it is smaller than the sum of its proper divisors (294224100).

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

132522780 is a wasteful number, since it uses less digits than its factorization.

132522780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 132522780 is about 11511.8538906642. The cubic root of 132522780 is about 509.8356256125.

The spelling of 132522780 in words is "one hundred thirty-two million, five hundred twenty-two thousand, seven hundred eighty".