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132399360 = 283451277
BaseRepresentation
bin1111110010001…
…00000100000000
3100020010120210000
413321010010000
5232343234420
621045440000
73165242652
oct771040400
9306116700
10132399360
1168810665
1238410000
1321578922
14138266d2
15b954690
hex7e44100

132399360 has 180 divisors, whose sum is σ = 474120108. Its totient is φ = 35278848.

The previous prime is 132399347. The next prime is 132399361. The reversal of 132399360 is 63993231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67371264 + 65028096 = 8208^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (132399361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103042 + ... + 104318.

Almost surely, 2132399360 is an apocalyptic number.

132399360 is a gapful number since it is divisible by the number (10) 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 132399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237060054).

132399360 is an abundant number, since it is smaller than the sum of its proper divisors (341720748).

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

132399360 is an equidigital number, since it uses as much as digits as its factorization.

132399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 132399360 is about 11506.4920805604. The cubic root of 132399360 is about 509.6773045125.

The spelling of 132399360 in words is "one hundred thirty-two million, three hundred ninety-nine thousand, three hundred sixty".