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151264 = 2529163
BaseRepresentation
bin100100111011100000
321200111101
4210323200
514320024
63124144
71200001
oct447340
9250441
10151264
11a3713
1273654
1353b09
143d1a8
152ec44
hex24ee0

151264 has 24 divisors (see below), whose sum is σ = 309960. Its totient is φ = 72576.

The previous prime is 151253. The next prime is 151273. The reversal of 151264 is 462151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 847 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (12915).

2151264 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 151264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154980).

151264 is an abundant number, since it is smaller than the sum of its proper divisors (158696).

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

151264 is a wasteful number, since it uses less digits than its factorization.

151264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 151264 is about 388.9267283178. The cubic root of 151264 is about 53.2817556919.

The spelling of 151264 in words is "one hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 116 163 232 326 464 652 928 1304 2608 4727 5216 9454 18908 37816 75632 151264