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132399960 = 233572112389
BaseRepresentation
bin1111110010001…
…00001101011000
3100020010121121020
413321010031120
5232343244320
621045442440
73165244500
oct771041530
9306117536
10132399960
1168811060
1238410420
1321578c94
1413826a00
15b954940
hex7e44358

132399960 has 384 divisors, whose sum is σ = 531878400. Its totient is φ = 26019840.

The previous prime is 132399959. The next prime is 132400007. The reversal of 132399960 is 69993231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1487596 + ... + 1487684.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 2132399960 is an apocalyptic number.

132399960 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 132399960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265939200).

132399960 is an abundant number, since it is smaller than the sum of its proper divisors (399478440).

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

132399960 is a wasteful number, since it uses less digits than its factorization.

132399960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 132399960 is about 11506.5181527689. The cubic root of 132399960 is about 509.6780744203.

The spelling of 132399960 in words is "one hundred thirty-two million, three hundred ninety-nine thousand, nine hundred sixty".