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256803740 = 225234312983
BaseRepresentation
bin11110100111010…
…00001110011100
3122220012222111122
433103220032130
51011220204430
641252110112
76235536644
oct1723501634
9586188448
10256803740
11121a604a6
1272005338
134128549b
142616b524
1517829ee5
hexf4e839c

256803740 has 48 divisors (see below), whose sum is σ = 575866368. Its totient is φ = 95962944.

The previous prime is 256803727. The next prime is 256803793. The reversal of 256803740 is 47308652.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 256803740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13289 + ... + 26271.

It is an arithmetic number, because the mean of its divisors is an integer number (11997216).

Almost surely, 2256803740 is an apocalyptic number.

256803740 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 256803740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287933184).

256803740 is an abundant number, since it is smaller than the sum of its proper divisors (319062628).

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

256803740 is a wasteful number, since it uses less digits than its factorization.

256803740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13058 (or 13056 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 256803740 is about 16025.0971915929. The cubic root of 256803740 is about 635.6242357946.

The spelling of 256803740 in words is "two hundred fifty-six million, eight hundred three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 430 460 860 989 1978 3956 4945 9890 12983 19780 25966 51932 64915 129830 259660 298609 558269 597218 1116538 1194436 1493045 2233076 2791345 2986090 5582690 5972180 11165380 12840187 25680374 51360748 64200935 128401870 256803740