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152325360 = 24345112137
BaseRepresentation
bin10010001010001…
…00110011110000
3101121121221010000
421011010303300
5302443402420
623040510000
73526513155
oct1105046360
9347557100
10152325360
1178a90330
124301b300
1325734465
141633222c
15d58d690
hex9144cf0

152325360 has 200 divisors, whose sum is σ = 577413936. Its totient is φ = 36910080.

The previous prime is 152325301. The next prime is 152325379. The reversal of 152325360 is 63523251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70212 + ... + 72348.

Almost surely, 2152325360 is an apocalyptic number.

152325360 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 152325360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288706968).

152325360 is an abundant number, since it is smaller than the sum of its proper divisors (425088576).

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

152325360 is a wasteful number, since it uses less digits than its factorization.

152325360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 152325360 is about 12342.0160427703. The cubic root of 152325360 is about 534.0608439698.

The spelling of 152325360 in words is "one hundred fifty-two million, three hundred twenty-five thousand, three hundred sixty".