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132523360 = 2555411531
BaseRepresentation
bin1111110011000…
…10010101100000
3100020100212212121
413321202111200
5232411221420
621052234024
73166300324
oct771422540
9306325777
10132523360
1168895842
123846b914
13215c01b8
1413859984
15b97b2aa
hex7e62560

132523360 has 48 divisors (see below), whose sum is σ = 313870032. Its totient is φ = 52876800.

The previous prime is 132523343. The next prime is 132523367. The reversal of 132523360 is 63325231.

It is a happy number.

132523360 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 not an unprimeable number, because it can be changed into a prime (132523367) 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 7 ways as a sum of consecutive naturals, for example, 85795 + ... + 87325.

It is an arithmetic number, because the mean of its divisors is an integer number (6538959).

Almost surely, 2132523360 is an apocalyptic number.

132523360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132523360 is an abundant number, since it is smaller than the sum of its proper divisors (181346672).

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

132523360 is a wasteful number, since it uses less digits than its factorization.

132523360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 132523360 is about 11511.8790820613. The cubic root of 132523360 is about 509.8363693947.

Adding to 132523360 its reverse (63325231), we get a palindrome (195848591).

The spelling of 132523360 in words is "one hundred thirty-two million, five hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 541 1082 1531 2164 2705 3062 4328 5410 6124 7655 8656 10820 12248 15310 17312 21640 24496 30620 43280 48992 61240 86560 122480 244960 828271 1656542 3313084 4141355 6626168 8282710 13252336 16565420 26504672 33130840 66261680 132523360