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152088120 = 233251724851
BaseRepresentation
bin10010001000010…
…10111000111000
3101121011212200100
421010022320320
5302413304440
623031435400
73524504412
oct1104127070
9347155610
10152088120
1178939068
1242b25b60
1325680492
14162ad9b2
15d543230
hex910ae38

152088120 has 96 divisors (see below), whose sum is σ = 523383120. Its totient is φ = 38169600.

The previous prime is 152088109. The next prime is 152088173. The reversal of 152088120 is 21880251.

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 23 ways as a sum of consecutive naturals, for example, 6306 + ... + 18545.

Almost surely, 2152088120 is an apocalyptic number.

152088120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152088120 is an abundant number, since it is smaller than the sum of its proper divisors (371295000).

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

152088120 is a wasteful number, since it uses less digits than its factorization.

152088120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24885 (or 24878 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 152088120 is about 12332.4012260387. The cubic root of 152088120 is about 533.7834412041.

The spelling of 152088120 in words is "one hundred fifty-two million, eighty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 24851 49702 74553 99404 124255 149106 198808 223659 248510 298212 372765 422467 447318 497020 596424 745530 844934 894636 994040 1118295 1267401 1491060 1689868 1789272 2112335 2236590 2534802 2982120 3379736 3802203 4224670 4473180 5069604 6337005 7604406 8449340 8946360 10139208 12674010 15208812 16898680 19011015 25348020 30417624 38022030 50696040 76044060 152088120