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132995232 = 2532538713
BaseRepresentation
bin1111110110101…
…01100010100000
3100021020212011100
413323111202200
5233021321412
621110314400
73203304126
oct773254240
9307225140
10132995232
1169088317
1238658a00
1321726c06
141393d916
15ba20edc
hex7ed58a0

132995232 has 72 divisors (see below), whose sum is σ = 385385364. Its totient is φ = 43490304.

The previous prime is 132995227. The next prime is 132995243. The reversal of 132995232 is 232599231.

It can be written as a sum of positive squares in 2 ways, for example, as 110754576 + 22240656 = 10524^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10908 + ... + 19620.

Almost surely, 2132995232 is an apocalyptic number.

132995232 is a gapful number since it is divisible by the number (12) 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 132995232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192692682).

132995232 is an abundant number, since it is smaller than the sum of its proper divisors (252390132).

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

132995232 is a wasteful number, since it uses less digits than its factorization.

132995232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8782 (or 8771 counting only the distinct ones).

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

The square root of 132995232 is about 11532.3558738013. The cubic root of 132995232 is about 510.4407723511.

The spelling of 132995232 in words is "one hundred thirty-two million, nine hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 8713 15264 17426 26139 34852 52278 69704 78417 104556 139408 156834 209112 278816 313668 418224 461789 627336 836448 923578 1254672 1385367 1847156 2509344 2770734 3694312 4156101 5541468 7388624 8312202 11082936 14777248 16624404 22165872 33248808 44331744 66497616 132995232