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132987024 = 2432314
BaseRepresentation
bin1111110110100…
…11100010010000
3100021020102220100
413323103202100
5233021041044
621110212400
73203241162
oct773234220
9307212810
10132987024
1169082135
1238654100
1321723261
141393a932
15ba1d869
hex7ed3890

132987024 has 75 divisors (see below), whose sum is σ = 384584915. Its totient is φ = 42899040.

The previous prime is 132986977. The next prime is 132987031. The reversal of 132987024 is 420789231.

The square root of 132987024 is 11532.

It is a perfect power (a square), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132987024.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4289889 + ... + 4289919.

Almost surely, 2132987024 is an apocalyptic number.

132987024 is the 11532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132987024

132987024 is an abundant number, since it is smaller than the sum of its proper divisors (251597891).

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

132987024 is an frugal number, since it uses more digits than its factorization.

132987024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 132987024 is about 510.4302712627.

Multiplying 132987024 by its sum of digits (36), we get a square (4787532864 = 691922).

132987024 divided by its sum of digits (36) gives a square (3694084 = 19222).

The spelling of 132987024 in words is "one hundred thirty-two million, nine hundred eighty-seven thousand, twenty-four".