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152916390 = 23351151487
BaseRepresentation
bin10010001110101…
…01000110100110
3101122201221212000
421013111012212
5303121311030
623101310130
73534524244
oct1107250646
9348657760
10152916390
1179354390
1243265346
13258b0493
1416447794
15d658860
hex91d51a6

152916390 has 64 divisors (see below), whose sum is σ = 444856320. Its totient is φ = 37069920.

The previous prime is 152916359. The next prime is 152916403. The reversal of 152916390 is 93619251.

152916390 is a `hidden beast` number, since 15 + 2 + 9 + 1 + 639 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22774 + ... + 28713.

It is an arithmetic number, because the mean of its divisors is an integer number (6950880).

Almost surely, 2152916390 is an apocalyptic number.

152916390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152916390 is an abundant number, since it is smaller than the sum of its proper divisors (291939930).

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

152916390 is a wasteful number, since it uses less digits than its factorization.

152916390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51514 (or 51508 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 152916390 is about 12365.9366810606. The cubic root of 152916390 is about 534.7506801153.

The spelling of 152916390 in words is "one hundred fifty-two million, nine hundred sixteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 51487 102974 154461 257435 308922 463383 514870 566357 772305 926766 1132714 1390149 1544610 1699071 2316915 2780298 2831785 3398142 4633830 5097213 5663570 6950745 8495355 10194426 13901490 15291639 16990710 25486065 30583278 50972130 76458195 152916390