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256760730 = 23252325393
BaseRepresentation
bin11110100110111…
…01101110011010
3122220010210111200
433103131232122
51011212320410
641251135030
76235300362
oct1723355632
9586123450
10256760730
11121a31156
1271ba4476
134126ba35
14261599a2
151781c3c0
hexf4ddb9a

256760730 has 72 divisors (see below), whose sum is σ = 697994388. Its totient is φ = 65480448.

The previous prime is 256760717. The next prime is 256760759. The reversal of 256760730 is 37067652.

It is a happy number.

256760730 is a `hidden beast` number, since 2 + 567 + 60 + 7 + 30 = 666.

256760730 is digitally balanced in base 3, 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 245329569 + 11431161 = 15663^2 + 3381^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44914 + ... + 50306.

Almost surely, 2256760730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256760730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348997194).

256760730 is an abundant number, since it is smaller than the sum of its proper divisors (441233658).

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

256760730 is a wasteful number, since it uses less digits than its factorization.

256760730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 256760730 is about 16023.7551778602. The cubic root of 256760730 is about 635.5887486105.

The spelling of 256760730 in words is "two hundred fifty-six million, seven hundred sixty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 529 690 1035 1058 1587 2070 2645 3174 4761 5290 5393 7935 9522 10786 15870 16179 23805 26965 32358 47610 48537 53930 80895 97074 124039 161790 242685 248078 372117 485370 620195 744234 1116351 1240390 1860585 2232702 2852897 3721170 5581755 5705794 8558691 11163510 14264485 17117382 25676073 28528970 42793455 51352146 85586910 128380365 256760730