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150653664 = 2532774729
BaseRepresentation
bin10001111101011…
…00101011100000
3101111110222222100
420332230223200
5302031404124
622541010400
73506351340
oct1076545340
9344428870
10150653664
1178049367
1242553a00
132529a5a5
1416018d20
15d35d1c9
hex8facae0

150653664 has 72 divisors (see below), whose sum is σ = 489630960. Its totient is φ = 43043328.

The previous prime is 150653663. The next prime is 150653669. The reversal of 150653664 is 466356051.

150653664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150653663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35349 + ... + 39380.

It is an arithmetic number, because the mean of its divisors is an integer number (6800430).

Almost surely, 2150653664 is an apocalyptic number.

150653664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

150653664 is an abundant number, since it is smaller than the sum of its proper divisors (338977296).

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

150653664 is a wasteful number, since it uses less digits than its factorization.

150653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74752 (or 74741 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 150653664 is about 12274.1054256512. The cubic root of 150653664 is about 532.0999680230.

The spelling of 150653664 in words is "one hundred fifty million, six hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 74729 149458 224187 298916 448374 523103 597832 672561 896748 1046206 1195664 1345122 1569309 1793496 2092412 2391328 2690244 3138618 3586992 4184824 4707927 5380488 6277236 7173984 8369648 9415854 10760976 12554472 16739296 18831708 21521952 25108944 37663416 50217888 75326832 150653664