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132525024 = 2531380469
BaseRepresentation
bin1111110011000…
…10101111100000
3100020100222011020
413321202233200
5232411300044
621052245440
73166305222
oct771425740
9306328136
10132525024
1168897015
1238470880
13215c0b98
141385a412
15b97ba19
hex7e62be0

132525024 has 24 divisors (see below), whose sum is σ = 347878440. Its totient is φ = 44174976.

The previous prime is 132525017. The next prime is 132525037. The reversal of 132525024 is 420525231.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132524985 and 132525003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 690139 + ... + 690330.

It is an arithmetic number, because the mean of its divisors is an integer number (14494935).

Almost surely, 2132525024 is an apocalyptic number.

It is an amenable number.

132525024 is an abundant number, since it is smaller than the sum of its proper divisors (215353416).

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

132525024 is a wasteful number, since it uses less digits than its factorization.

132525024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380482 (or 1380474 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 132525024 is about 11511.9513550049. The cubic root of 132525024 is about 509.8385032680.

The spelling of 132525024 in words is "one hundred thirty-two million, five hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1380469 2760938 4141407 5521876 8282814 11043752 16565628 22087504 33131256 44175008 66262512 132525024