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132095768 = 2372418219
BaseRepresentation
bin1111101111110…
…01111100011000
3100012120011022212
413313321330120
5232304031033
621035134252
73162536600
oct767717430
9305504285
10132095768
1168623562
12382a4388
13214a069c
1413787c00
15b8e4748
hex7df9f18

132095768 has 48 divisors (see below), whose sum is σ = 295180200. Its totient is φ = 55224960.

The previous prime is 132095759. The next prime is 132095773. The reversal of 132095768 is 867590231.

132095768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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, 11963 + ... + 20181.

Almost surely, 2132095768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132095768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147590100).

132095768 is an abundant number, since it is smaller than the sum of its proper divisors (163084432).

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

132095768 is a wasteful number, since it uses less digits than its factorization.

132095768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 132095768 is about 11493.2923046445. The cubic root of 132095768 is about 509.2874426794.

The spelling of 132095768 in words is "one hundred thirty-two million, ninety-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8036 8219 16072 16438 32876 57533 65752 115066 230132 336979 402731 460264 673958 805462 1347916 1610924 2358853 2695832 3221848 4717706 9435412 16511971 18870824 33023942 66047884 132095768