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256216260 = 22355997129
BaseRepresentation
bin11110100010110…
…00110011000100
3122212010010122010
433101120303010
51011042410020
641231334220
76230542116
oct1721306304
9585103563
10256216260
1112169a083
1271981370
134110ac71
14260573b6
1517760de0
hexf458cc4

256216260 has 48 divisors (see below), whose sum is σ = 718704000. Its totient is φ = 68200704.

The previous prime is 256216253. The next prime is 256216267. The reversal of 256216260 is 62612652.

256216260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256216253) and next prime (256216267).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (256216267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32376 + ... + 39504.

It is an arithmetic number, because the mean of its divisors is an integer number (14973000).

Almost surely, 2256216260 is an apocalyptic number.

256216260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256216260 is an abundant number, since it is smaller than the sum of its proper divisors (462487740).

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

256216260 is a wasteful number, since it uses less digits than its factorization.

256216260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 256216260 is about 16006.7566983446. The cubic root of 256216260 is about 635.1391680425.

The spelling of 256216260 in words is "two hundred fifty-six million, two hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 599 1198 1797 2396 2995 3594 5990 7129 7188 8985 11980 14258 17970 21387 28516 35645 35940 42774 71290 85548 106935 142580 213870 427740 4270271 8540542 12810813 17081084 21351355 25621626 42702710 51243252 64054065 85405420 128108130 256216260