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150813642 = 23743113739
BaseRepresentation
bin10001111110100…
…11101111001010
3101111210010102110
420333103233022
5302102014032
622544243150
73510615630
oct1077235712
9344703373
10150813642
1178148581
12426104b6
1325325355
141605b350
15d3907cc
hex8fd3bca

150813642 has 64 divisors (see below), whose sum is σ = 356336640. Its totient is φ = 41658624.

The previous prime is 150813589. The next prime is 150813661. The reversal of 150813642 is 246318051.

It is a super-2 number, since 2×1508136422 = 45489509226608328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203709 + ... + 204447.

It is an arithmetic number, because the mean of its divisors is an integer number (5567760).

Almost surely, 2150813642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150813642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178168320).

150813642 is an abundant number, since it is smaller than the sum of its proper divisors (205522998).

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

150813642 is a wasteful number, since it uses less digits than its factorization.

150813642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 150813642 is about 12280.6205869248. The cubic root of 150813642 is about 532.2882457217.

The spelling of 150813642 in words is "one hundred fifty million, eight hundred thirteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 43 86 113 129 226 258 301 339 602 678 739 791 903 1478 1582 1806 2217 2373 4434 4746 4859 5173 9718 10346 14577 15519 29154 31038 31777 34013 63554 68026 83507 95331 102039 167014 190662 204078 222439 250521 444878 501042 584549 667317 1169098 1334634 1753647 3507294 3590801 7181602 10772403 21544806 25135607 50271214 75406821 150813642