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132399540 = 2232571359137
BaseRepresentation
bin1111110010001…
…00000110110100
3100020010121000200
413321010012310
5232343241130
621045440500
73165243330
oct771040664
9306117020
10132399540
1168810809
1238410130
1321578a30
14138267c0
15b954760
hex7e441b4

132399540 has 288 divisors, whose sum is σ = 506338560. Its totient is φ = 27260928.

The previous prime is 132399539. The next prime is 132399551. The reversal of 132399540 is 45993231.

It is a happy number.

132399540 is a `hidden beast` number, since 1 + 3 + 23 + 99 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132399495 and 132399504.

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, 966352 + ... + 966488.

It is an arithmetic number, because the mean of its divisors is an integer number (1758120).

Almost surely, 2132399540 is an apocalyptic number.

132399540 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 132399540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253169280).

132399540 is an abundant number, since it is smaller than the sum of its proper divisors (373939020).

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

132399540 is a wasteful number, since it uses less digits than its factorization.

132399540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 132399540 is about 11506.4999022292. The cubic root of 132399540 is about 509.6775354851.

The spelling of 132399540 in words is "one hundred thirty-two million, three hundred ninety-nine thousand, five hundred forty".