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256770 = 2345317
BaseRepresentation
bin111110101100000010
3111001020000
4332230002
531204040
65300430
72116413
oct765402
9431200
10256770
11165a08
12104716
138cb47
146980a
1551130
hex3eb02

256770 has 40 divisors (see below), whose sum is σ = 692604. Its totient is φ = 68256.

The previous prime is 256757. The next prime is 256771. The reversal of 256770 is 77652.

256770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 227529 + 29241 = 477^2 + 171^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256770.

It is not an unprimeable number, because it can be changed into a prime (256771) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 652 + ... + 968.

2256770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346302).

256770 is an abundant number, since it is smaller than the sum of its proper divisors (435834).

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

256770 is a wasteful number, since it uses less digits than its factorization.

256770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 256770 is about 506.7247773693. The cubic root of 256770 is about 63.5596397543.

The spelling of 256770 in words is "two hundred fifty-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 317 405 634 810 951 1585 1902 2853 3170 4755 5706 8559 9510 14265 17118 25677 28530 42795 51354 85590 128385 256770