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152318880 = 2534572373
BaseRepresentation
bin10010001010000…
…11001110100000
3101121121121020000
421011003032200
5302443201010
623040420000
73526455240
oct1105031640
9347547200
10152318880
1178a8647a
1243017600
132573151c
141632db20
15d58b7c0
hex91433a0

152318880 has 480 divisors, whose sum is σ = 649845504. Its totient is φ = 32845824.

The previous prime is 152318879. The next prime is 152318897. The reversal of 152318880 is 88813251.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2086524 + ... + 2086596.

Almost surely, 2152318880 is an apocalyptic number.

152318880 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 152318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324922752).

152318880 is an abundant number, since it is smaller than the sum of its proper divisors (497526624).

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

152318880 is a wasteful number, since it uses less digits than its factorization.

152318880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 152318880 is about 12341.7535220892. The cubic root of 152318880 is about 534.0532707871.

The spelling of 152318880 in words is "one hundred fifty-two million, three hundred eighteen thousand, eight hundred eighty".