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152150868 = 22324226413
BaseRepresentation
bin10010001000110…
…10001101010100
3101121022001202100
421010122031110
5302422311433
623033042100
73525155352
oct1104321524
9347261670
10152150868
1178981221
1242b56330
13256a2bcc
14162c87d2
15d556b13
hex911a354

152150868 has 18 divisors (see below), whose sum is σ = 384603674. Its totient is φ = 50716944.

The previous prime is 152150851. The next prime is 152150881. The reversal of 152150868 is 868051251.

152150868 is a `hidden beast` number, since 1 + 521 + 50 + 86 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106750224 + 45400644 = 10332^2 + 6738^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4226413 = 152150868 / (1 + 5 + 2 + 1 + 5 + 0 + 8 + 6 + 8).

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 5 ways as a sum of consecutive naturals, for example, 2113171 + ... + 2113242.

Almost surely, 2152150868 is an apocalyptic number.

152150868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152150868 is an abundant number, since it is smaller than the sum of its proper divisors (232452806).

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

152150868 is a wasteful number, since it uses less digits than its factorization.

152150868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226423 (or 4226418 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 152150868 is about 12334.9449937971. The cubic root of 152150868 is about 533.8568399639.

The spelling of 152150868 in words is "one hundred fifty-two million, one hundred fifty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 4226413 8452826 12679239 16905652 25358478 38037717 50716956 76075434 152150868