Search a number
132324564 = 22329577659
BaseRepresentation
bin1111110001100…
…01110011010100
3100012222210011210
413320301303110
5232333341224
621044101420
73164511621
oct770616324
9305883153
10132324564
116876a449
1238394870
1321550878
1413807348
15b93c429
hex7e31cd4

132324564 has 48 divisors (see below), whose sum is σ = 320443200. Its totient is φ = 42448896.

The previous prime is 132324559. The next prime is 132324571. The reversal of 132324564 is 465423231.

132324564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200467 + ... + 201125.

It is an arithmetic number, because the mean of its divisors is an integer number (6675900).

Almost surely, 2132324564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132324564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160221600).

132324564 is an abundant number, since it is smaller than the sum of its proper divisors (188118636).

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

132324564 is a wasteful number, since it uses less digits than its factorization.

132324564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1270 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 132324564 is about 11503.2414562157. The cubic root of 132324564 is about 509.5813095756.

Adding to 132324564 its reverse (465423231), we get a palindrome (597747795).

The spelling of 132324564 in words is "one hundred thirty-two million, three hundred twenty-four thousand, five hundred sixty-four".