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132879168 = 2632230693
BaseRepresentation
bin1111110101110…
…01001101000000
3100021000221221200
413322321031000
5233004113133
621104021200
73202311552
oct772711500
9307027850
10132879168
11690090a4
1238601800
13216b6136
141390d4d2
15b9eb913
hex7eb9340

132879168 has 42 divisors (see below), whose sum is σ = 380875794. Its totient is φ = 44292864.

The previous prime is 132879137. The next prime is 132879181. The reversal of 132879168 is 861978231.

It can be written as a sum of positive squares in only one way, i.e., 131606784 + 1272384 = 11472^2 + 1128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114771 + ... + 115922.

Almost surely, 2132879168 is an apocalyptic number.

132879168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132879168 is an abundant number, since it is smaller than the sum of its proper divisors (247996626).

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

132879168 is a wasteful number, since it uses less digits than its factorization.

132879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230711 (or 230698 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 132879168 is about 11527.3226726764. The cubic root of 132879168 is about 510.2922431165.

The spelling of 132879168 in words is "one hundred thirty-two million, eight hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 230693 461386 692079 922772 1384158 1845544 2076237 2768316 3691088 4152474 5536632 7382176 8304948 11073264 14764352 16609896 22146528 33219792 44293056 66439584 132879168