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152660664 = 233213433793
BaseRepresentation
bin10010001100101…
…10101010111000
3101122020222001200
421012112222320
5303040120124
623052014200
73532410552
oct1106265270
9348228050
10152660664
117919a242
1243161360
1325820c70
14163bc4d2
15d607bc9
hex9196ab8

152660664 has 96 divisors (see below), whose sum is σ = 455735280. Its totient is φ = 45868032.

The previous prime is 152660657. The next prime is 152660681. The reversal of 152660664 is 466066251.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38352 + ... + 42144.

Almost surely, 2152660664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152660664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227867640).

152660664 is an abundant number, since it is smaller than the sum of its proper divisors (303074616).

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

152660664 is a wasteful number, since it uses less digits than its factorization.

152660664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 152660664 is about 12355.5924180106. The cubic root of 152660664 is about 534.4524213669.

The spelling of 152660664 in words is "one hundred fifty-two million, six hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 774 936 1032 1118 1548 1677 2236 3096 3354 3793 4472 5031 6708 7586 10062 11379 13416 15172 20124 22758 30344 34137 40248 45516 49309 68274 91032 98618 136548 147927 163099 197236 273096 295854 326198 394472 443781 489297 591708 652396 887562 978594 1183416 1304792 1467891 1775124 1957188 2120287 2935782 3550248 3914376 4240574 5871564 6360861 8481148 11743128 12721722 16962296 19082583 25443444 38165166 50886888 76330332 152660664