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152410440 = 233571317821
BaseRepresentation
bin10010001010110…
…01100101001000
3101121210020211010
421011121211020
5303004113230
623042403520
73530316210
oct1105314510
9347706733
10152410440
1179039246
12430605a0
13257640c0
1416355240
15d5a89b0
hex9159948

152410440 has 256 divisors, whose sum is σ = 596574720. Its totient is φ = 30228480.

The previous prime is 152410421. The next prime is 152410451. The reversal of 152410440 is 44014251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 185230 + ... + 186050.

It is an arithmetic number, because the mean of its divisors is an integer number (2330370).

Almost surely, 2152410440 is an apocalyptic number.

152410440 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 152410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298287360).

152410440 is an abundant number, since it is smaller than the sum of its proper divisors (444164280).

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

152410440 is a wasteful number, since it uses less digits than its factorization.

152410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 152410440 is about 12345.4623242712. The cubic root of 152410440 is about 534.1602571373.

Adding to 152410440 its reverse (44014251), we get a palindrome (196424691).

The spelling of 152410440 in words is "one hundred fifty-two million, four hundred ten thousand, four hundred forty".