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132326568 = 23331126183
BaseRepresentation
bin1111110001100…
…10010010101000
3100012222212221000
413320302102220
5232333422233
621044115000
73164520513
oct770622250
9305885830
10132326568
1168770a00
1238395a60
132155175a
1413807d7a
15b93cd13
hex7e324a8

132326568 has 192 divisors, whose sum is σ = 415598400. Its totient is φ = 38966400.

The previous prime is 132326563. The next prime is 132326581. The reversal of 132326568 is 865623231.

It is a happy number.

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

Its product of digits (51840) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (132326563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594255 + ... + 1594337.

It is an arithmetic number, because the mean of its divisors is an integer number (2164575).

Almost surely, 2132326568 is an apocalyptic number.

132326568 is a gapful number since it is divisible by the number (18) 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 132326568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207799200).

132326568 is an abundant number, since it is smaller than the sum of its proper divisors (283271832).

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

132326568 is a wasteful number, since it uses less digits than its factorization.

132326568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 132326568 is about 11503.3285617685. The cubic root of 132326568 is about 509.5838820277.

Adding to 132326568 its reverse (865623231), we get a palindrome (997949799).

The spelling of 132326568 in words is "one hundred thirty-two million, three hundred twenty-six thousand, five hundred sixty-eight".