Search a number
-
+
152291160 = 233257223271
BaseRepresentation
bin10010001001111…
…00011101011000
3101121120012012100
421010330131120
5302441304120
623040043400
73526311360
oct1104743530
9347505170
10152291160
1178a6766a
1243003560
1325721a18
14163239a0
15d583490
hex913c758

152291160 has 192 divisors, whose sum is σ = 570286080. Its totient is φ = 34525440.

The previous prime is 152291129. The next prime is 152291171. The reversal of 152291160 is 61192251.

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 47 ways as a sum of consecutive naturals, for example, 561825 + ... + 562095.

It is an arithmetic number, because the mean of its divisors is an integer number (2970240).

Almost surely, 2152291160 is an apocalyptic number.

152291160 is a gapful number since it is divisible by the number (10) 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 152291160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285143040).

152291160 is an abundant number, since it is smaller than the sum of its proper divisors (417994920).

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

152291160 is a wasteful number, since it uses less digits than its factorization.

152291160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 152291160 is about 12340.6304539112. The cubic root of 152291160 is about 534.0208719696.

The spelling of 152291160 in words is "one hundred fifty-two million, two hundred ninety-one thousand, one hundred sixty".