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256960 = 2651173
BaseRepresentation
bin111110101111000000
3111001111001
4332233000
531210320
65301344
72120104
oct765700
9431431
10256960
11166070
12104854
138cc62
1469904
155120a
hex3ebc0

256960 has 56 divisors (see below), whose sum is σ = 676656. Its totient is φ = 92160.

The previous prime is 256957. The next prime is 256967. The reversal of 256960 is 69652.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3484 + ... + 3556.

2256960 is an apocalyptic number.

256960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338328).

256960 is an abundant number, since it is smaller than the sum of its proper divisors (419696).

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

256960 is a wasteful number, since it uses less digits than its factorization.

256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 256960 is about 506.9122211981. The cubic root of 256960 is about 63.5753131249.

The spelling of 256960 in words is "two hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 73 80 88 110 146 160 176 220 292 320 352 365 440 584 704 730 803 880 1168 1460 1606 1760 2336 2920 3212 3520 4015 4672 5840 6424 8030 11680 12848 16060 23360 25696 32120 51392 64240 128480 256960