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10256257 = 1119311583
BaseRepresentation
bin100111000111…
…111110000001
3201022001221101
4213013332001
510111200012
61003454401
7153114424
oct47077601
921261841
1010256257
115875750
123527401
1321813bb
14150d9bb
15d78d57
hex9c7f81

10256257 has 16 divisors (see below), whose sum is σ = 12165120. Its totient is φ = 8542800.

The previous prime is 10256251. The next prime is 10256263. The reversal of 10256257 is 75265201.

10256257 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 (10256251) and next prime (10256263).

It is a cyclic number.

It is not a de Polignac number, because 10256257 - 23 = 10256249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10256251) 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, 5688 + ... + 7270.

It is an arithmetic number, because the mean of its divisors is an integer number (760320).

Almost surely, 210256257 is an apocalyptic number.

It is an amenable number.

10256257 is a deficient number, since it is larger than the sum of its proper divisors (1908863).

10256257 is a wasteful number, since it uses less digits than its factorization.

10256257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 10256257 is about 3202.5391488630. The cubic root of 10256257 is about 217.2682659815.

The spelling of 10256257 in words is "ten million, two hundred fifty-six thousand, two hundred fifty-seven".

Divisors: 1 11 19 31 209 341 589 1583 6479 17413 30077 49073 330847 539803 932387 10256257