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152065764 = 22324224049
BaseRepresentation
bin10010001000001…
…01011011100100
3101121010202000100
421010011123210
5302412101024
623031144100
73524352264
oct1104053344
9347122010
10152065764
1178923294
1242b15030
1325673256
14162a57a4
15d53b7c9
hex91056e4

152065764 has 18 divisors (see below), whose sum is σ = 384388550. Its totient is φ = 50688576.

The previous prime is 152065751. The next prime is 152065769. The reversal of 152065764 is 467560251.

It is a happy number.

152065764 is a `hidden beast` number, since 1 + 520 + 65 + 76 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 152028900 + 36864 = 12330^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4224049 = 152065764 / (1 + 5 + 2 + 0 + 6 + 5 + 7 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (152065769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2111989 + ... + 2112060.

Almost surely, 2152065764 is an apocalyptic number.

It is an amenable number.

152065764 is an abundant number, since it is smaller than the sum of its proper divisors (232322786).

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

152065764 is a wasteful number, since it uses less digits than its factorization.

152065764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224059 (or 4224054 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 152065764 is about 12331.4947999016. The cubic root of 152065764 is about 533.7572856496.

The spelling of 152065764 in words is "one hundred fifty-two million, sixty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4224049 8448098 12672147 16896196 25344294 38016441 50688588 76032882 152065764