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152347136 = 291491997
BaseRepresentation
bin10010001010010…
…10001000000000
3101121200000222112
421011022020000
5303000102021
623041154452
73526633514
oct1105121000
9347600875
10152347136
1178aa5727
124302ba28
1325741346
141633a144
15d594d5b
hex914a200

152347136 has 40 divisors (see below), whose sum is σ = 306593100. Its totient is φ = 75624448.

The previous prime is 152347127. The next prime is 152347141. The reversal of 152347136 is 631743251.

152347136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 113209600 + 39137536 = 10640^2 + 6256^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75290 + ... + 77286.

Almost surely, 2152347136 is an apocalyptic number.

152347136 is a gapful number since it is divisible by the number (16) 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 152347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153296550).

152347136 is an abundant number, since it is smaller than the sum of its proper divisors (154245964).

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

152347136 is an equidigital number, since it uses as much as digits as its factorization.

152347136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2148 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 152347136 is about 12342.8982009899. The cubic root of 152347136 is about 534.0862920300.

The spelling of 152347136 in words is "one hundred fifty-two million, three hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1192 1997 2384 3994 4768 7988 9536 15976 19072 31952 38144 63904 76288 127808 255616 297553 511232 595106 1022464 1190212 2380424 4760848 9521696 19043392 38086784 76173568 152347136