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156383136 = 2535713217
BaseRepresentation
bin10010101001000…
…11011110100000
3101220021002100000
421110203132200
5310013230021
623303500000
73606143340
oct1124433640
9356232300
10156383136
1180301a68
1244457600
1326525400
1416aaad20
15dae0b26
hex95237a0

156383136 has 432 divisors, whose sum is σ = 604304064. Its totient is φ = 38817792.

The previous prime is 156383093. The next prime is 156383137. The reversal of 156383136 is 631383651.

It is a happy number.

156383136 is a `hidden beast` number, since 1 + 5 + 638 + 3 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 156383136.

It is not an unprimeable number, because it can be changed into a prime (156383137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9199000 + ... + 9199016.

It is an arithmetic number, because the mean of its divisors is an integer number (1398852).

Almost surely, 2156383136 is an apocalyptic number.

156383136 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 156383136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302152032).

156383136 is an abundant number, since it is smaller than the sum of its proper divisors (447920928).

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

156383136 is a wasteful number, since it uses less digits than its factorization.

156383136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 156383136 is about 12505.3243060706. The cubic root of 156383136 is about 538.7616065817.

The spelling of 156383136 in words is "one hundred fifty-six million, three hundred eighty-three thousand, one hundred thirty-six".