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132525360 = 243251129577
BaseRepresentation
bin1111110011000…
…10110100110000
3100020100222121200
413321202310300
5232411302420
621052251200
73166306212
oct771426460
9306328550
10132525360
11688972a0
1238470b00
13215c1096
141385a5b2
15b97bb90
hex7e62d30

132525360 has 240 divisors, whose sum is σ = 503137440. Its totient is φ = 30965760.

The previous prime is 132525359. The next prime is 132525373. The reversal of 132525360 is 63525231.

132525360 is a `hidden beast` number, since 132 + 525 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 229392 + ... + 229968.

It is an arithmetic number, because the mean of its divisors is an integer number (2096406).

Almost surely, 2132525360 is an apocalyptic number.

132525360 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 132525360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251568720).

132525360 is an abundant number, since it is smaller than the sum of its proper divisors (370612080).

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

132525360 is a wasteful number, since it uses less digits than its factorization.

132525360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 132525360 is about 11511.9659485250. The cubic root of 132525360 is about 509.8389341440.

The spelling of 132525360 in words is "one hundred thirty-two million, five hundred twenty-five thousand, three hundred sixty".