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256074 = 23721367
BaseRepresentation
bin111110100001001010
3111000021020
4332201022
531143244
65253310
72114400
oct764112
9430236
10256074
11165435
12104236
138c730
1469470
1550d19
hex3e84a

256074 has 48 divisors (see below), whose sum is σ = 651168. Its totient is φ = 66528.

The previous prime is 256057. The next prime is 256079. The reversal of 256074 is 470652.

It is a happy number.

256074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3789 + ... + 3855.

It is an arithmetic number, because the mean of its divisors is an integer number (13566).

2256074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325584).

256074 is an abundant number, since it is smaller than the sum of its proper divisors (395094).

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

256074 is a wasteful number, since it uses less digits than its factorization.

256074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 256074 is about 506.0375480140. The cubic root of 256074 is about 63.5021595975.

The spelling of 256074 in words is "two hundred fifty-six thousand, seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 67 78 91 98 134 147 182 201 273 294 402 469 546 637 871 938 1274 1407 1742 1911 2613 2814 3283 3822 5226 6097 6566 9849 12194 18291 19698 36582 42679 85358 128037 256074