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149959590 = 235111923917
BaseRepresentation
bin10001111000000…
…11001110100110
3101110011201212220
420330003032212
5301342201330
622514053210
73500430654
oct1074031646
9343151786
10149959590
1177714950
124227a206
13250b66b1
1415cb7dd4
15d272710
hex8f033a6

149959590 has 64 divisors (see below), whose sum is σ = 413303040. Its totient is φ = 34439040.

The previous prime is 149959583. The next prime is 149959603. The reversal of 149959590 is 95959941.

It is a happy number.

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, 5689 + ... + 18228.

It is an arithmetic number, because the mean of its divisors is an integer number (6457860).

Almost surely, 2149959590 is an apocalyptic number.

149959590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149959590 is an abundant number, since it is smaller than the sum of its proper divisors (263343450).

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

149959590 is a wasteful number, since it uses less digits than its factorization.

149959590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23957.

The product of its (nonzero) digits is 656100, while the sum is 51.

The square root of 149959590 is about 12245.7988714498. The cubic root of 149959590 is about 531.2815669362.

The spelling of 149959590 in words is "one hundred forty-nine million, nine hundred fifty-nine thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 23917 47834 71751 119585 143502 239170 263087 358755 454423 526174 717510 789261 908846 1315435 1363269 1578522 2272115 2630870 2726538 3946305 4544230 4998653 6816345 7892610 9997306 13632690 14995959 24993265 29991918 49986530 74979795 149959590