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150590664 = 2334733199
BaseRepresentation
bin10001111100111…
…01010011001000
3101111100210120000
420332131103020
5302022400124
622535403000
73505666560
oct1076352310
9344323500
10150590664
1178005aa4
1242523460
1325277a03
1415dddda0
15d3496c9
hex8f9d4c8

150590664 has 80 divisors (see below), whose sum is σ = 482064000. Its totient is φ = 43024608.

The previous prime is 150590659. The next prime is 150590689. The reversal of 150590664 is 466095051.

150590664 is a `hidden beast` number, since 1 + 5 + 0 + 590 + 6 + 64 = 666.

150590664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12064 + ... + 21135.

It is an arithmetic number, because the mean of its divisors is an integer number (6025800).

Almost surely, 2150590664 is an apocalyptic number.

150590664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

150590664 is an abundant number, since it is smaller than the sum of its proper divisors (331473336).

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

150590664 is a wasteful number, since it uses less digits than its factorization.

150590664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33224 (or 33211 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 150590664 is about 12271.5387788166. The cubic root of 150590664 is about 532.0257869046.

The spelling of 150590664 in words is "one hundred fifty million, five hundred ninety thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 33199 66398 99597 132796 199194 232393 265592 298791 398388 464786 597582 697179 796776 896373 929572 1195164 1394358 1792746 1859144 2091537 2390328 2689119 2788716 3585492 4183074 5378238 5577432 6274611 7170984 8366148 10756476 12549222 16732296 18823833 21512952 25098444 37647666 50196888 75295332 150590664