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152021160 = 2332537101113
BaseRepresentation
bin10010000111110…
…10100010101000
3101121001110211100
421003322202220
5302404134120
623030201400
73524105244
oct1103724250
9347043740
10152021160
11788a2825
1242ab3260
1325658b65
1416293424
15d52d490
hex90fa8a8

152021160 has 192 divisors, whose sum is σ = 516980880. Its totient is φ = 38707200.

The previous prime is 152021143. The next prime is 152021173. The reversal of 152021160 is 61120251.

It can be written as a sum of positive squares in 8 ways, for example, as 94595076 + 57426084 = 9726^2 + 7578^2 .

It is a super-2 number, since 2×1520211602 = 46220866175491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1345264 + ... + 1345376.

Almost surely, 2152021160 is an apocalyptic number.

152021160 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 152021160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258490440).

152021160 is an abundant number, since it is smaller than the sum of its proper divisors (364959720).

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

152021160 is a wasteful number, since it uses less digits than its factorization.

152021160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 152021160 is about 12329.6861273919. The cubic root of 152021160 is about 533.7050932352.

Subtracting from 152021160 its reverse (61120251), we obtain a palindrome (90900909).

The spelling of 152021160 in words is "one hundred fifty-two million, twenty-one thousand, one hundred sixty".