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256095 = 3357271
BaseRepresentation
bin111110100001011111
3111000022000
4332201133
531143340
65253343
72114430
oct764137
9430260
10256095
11165454
12104253
138c748
1469487
1550d30
hex3e85f

256095 has 32 divisors (see below), whose sum is σ = 522240. Its totient is φ = 116640.

The previous prime is 256093. The next prime is 256117. The reversal of 256095 is 590652.

256095 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 256095 - 21 = 256093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

256095 is a lucky number.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256095.

It is not an unprimeable number, because it can be changed into a prime (256093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (16320).

256095 is a Friedman number, since it can be written as 506^2+59, using all its digits and the basic arithmetic operations.

2256095 is an apocalyptic number.

256095 is an abundant number, since it is smaller than the sum of its proper divisors (266145).

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

256095 is a wasteful number, since it uses less digits than its factorization.

256095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 256095 is about 506.0582970370. The cubic root of 256095 is about 63.5038954355.

The spelling of 256095 in words is "two hundred fifty-six thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 271 315 813 945 1355 1897 2439 4065 5691 7317 9485 12195 17073 28455 36585 51219 85365 256095