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256558260 = 223571314663
BaseRepresentation
bin11110100101011…
…00010010110100
3122212202111202210
433102230102310
51011134331020
641242533420
76233465160
oct1722542264
9585674683
10256558260
11121903022
1271b07270
13411ca82a
1426105ca0
15177cc3e0
hexf4ac4b4

256558260 has 96 divisors (see below), whose sum is σ = 827430912. Its totient is φ = 58181760.

The previous prime is 256558249. The next prime is 256558283. The reversal of 256558260 is 62855652.

It is a happy number.

256558260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52689 + ... + 57351.

It is an arithmetic number, because the mean of its divisors is an integer number (8619072).

Almost surely, 2256558260 is an apocalyptic number.

256558260 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 256558260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413715456).

256558260 is an abundant number, since it is smaller than the sum of its proper divisors (570872652).

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

256558260 is a wasteful number, since it uses less digits than its factorization.

256558260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 256558260 is about 16017.4361244239. The cubic root of 256558260 is about 635.4216390808.

The spelling of 256558260 in words is "two hundred fifty-six million, five hundred fifty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 131 140 210 262 393 420 524 655 786 917 1310 1572 1834 1965 2620 2751 3668 3930 4585 4663 5502 7860 9170 9326 11004 13755 13989 18340 18652 23315 27510 27978 32641 46630 55020 55956 65282 69945 93260 97923 130564 139890 163205 195846 279780 326410 391692 489615 610853 652820 979230 1221706 1832559 1958460 2443412 3054265 3665118 4275971 6108530 7330236 8551942 9162795 12217060 12827913 17103884 18325590 21379855 25655826 36651180 42759710 51311652 64139565 85519420 128279130 256558260