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152856990 = 2335111337107
BaseRepresentation
bin10010001110001…
…10100110011110
3101122121221101000
421013012212132
5303112410430
623100131130
73534156126
oct1107064636
9348557330
10152856990
11793137a0
1243236aa6
132588c430
141642dc86
15d645e60
hex91c699e

152856990 has 256 divisors, whose sum is σ = 496419840. Its totient is φ = 32970240.

The previous prime is 152856989. The next prime is 152857007. The reversal of 152856990 is 99658251.

152856990 is digitally balanced in base 2, 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1428517 + ... + 1428623.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 2152856990 is an apocalyptic number.

152856990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152856990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

152856990 is an abundant number, since it is smaller than the sum of its proper divisors (343562850).

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

152856990 is a wasteful number, since it uses less digits than its factorization.

152856990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 152856990 is about 12363.5346887531. The cubic root of 152856990 is about 534.6814302806.

The spelling of 152856990 in words is "one hundred fifty-two million, eight hundred fifty-six thousand, nine hundred ninety".