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135852966 = 23229325759
BaseRepresentation
bin10000001100011…
…11001110100110
3100110122001020100
420012033032212
5234234243331
621251444530
73236505534
oct1006171646
9313561210
10135852966
116a75a387
12395b6746
13221b7892
1414085154
15bdd7ae6
hex818f3a6

135852966 has 24 divisors (see below), whose sum is σ = 295364160. Its totient is φ = 45128016.

The previous prime is 135852947. The next prime is 135853037. The reversal of 135852966 is 669258531.

135852966 is a `hidden beast` number, since 1 + 3 + 585 + 2 + 9 + 66 = 666.

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 7606 + ... + 18153.

It is an arithmetic number, because the mean of its divisors is an integer number (12306840).

Almost surely, 2135852966 is an apocalyptic number.

135852966 is an abundant number, since it is smaller than the sum of its proper divisors (159511194).

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

135852966 is a wasteful number, since it uses less digits than its factorization.

135852966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26060 (or 26057 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 135852966 is about 11655.5980541541. The cubic root of 135852966 is about 514.0709249230.

The spelling of 135852966 in words is "one hundred thirty-five million, eight hundred fifty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 293 586 879 1758 2637 5274 25759 51518 77277 154554 231831 463662 7547387 15094774 22642161 45284322 67926483 135852966