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152910240 = 25357172677
BaseRepresentation
bin10010001110100…
…11100110100000
3101122201122102020
421013103212200
5303121111430
623101221440
73534500310
oct1107234640
9348648366
10152910240
117934a7aa
1243261880
13258aa742
1416445440
15d656b10
hex91d39a0

152910240 has 192 divisors, whose sum is σ = 583075584. Its totient is φ = 32882688.

The previous prime is 152910239. The next prime is 152910283. The reversal of 152910240 is 42019251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 152910240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55782 + ... + 58458.

It is an arithmetic number, because the mean of its divisors is an integer number (3036852).

Almost surely, 2152910240 is an apocalyptic number.

152910240 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 152910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291537792).

152910240 is an abundant number, since it is smaller than the sum of its proper divisors (430165344).

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

152910240 is a wasteful number, since it uses less digits than its factorization.

152910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 152910240 is about 12365.6880115908. The cubic root of 152910240 is about 534.7435111416.

Adding to 152910240 its reverse (42019251), we get a palindrome (194929491).

The spelling of 152910240 in words is "one hundred fifty-two million, nine hundred ten thousand, two hundred forty".