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10256256 = 273229307
BaseRepresentation
bin100111000111…
…111110000000
3201022001221100
4213013332000
510111200011
61003454400
7153114423
oct47077600
921261840
1010256256
11587574a
123527400
1321813ba
14150d9ba
15d78d56
hex9c7f80

10256256 has 96 divisors (see below), whose sum is σ = 30630600. Its totient is φ = 3290112.

The previous prime is 10256251. The next prime is 10256263. The reversal of 10256256 is 65265201.

10256256 is a `hidden beast` number, since 10 + 25 + 625 + 6 = 666.

10256256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10256251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33255 + ... + 33561.

Almost surely, 210256256 is an apocalyptic number.

10256256 is a gapful number since it is divisible by the number (16) 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 10256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315300).

10256256 is an abundant number, since it is smaller than the sum of its proper divisors (20374344).

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

10256256 is a wasteful number, since it uses less digits than its factorization.

10256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 10256256 is about 3202.5389927369. The cubic root of 10256256 is about 217.2682589202.

The spelling of 10256256 in words is "ten million, two hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 307 348 384 464 522 576 614 696 921 928 1044 1152 1228 1392 1842 1856 2088 2456 2763 2784 3684 3712 4176 4912 5526 5568 7368 8352 8903 9824 11052 11136 14736 16704 17806 19648 22104 26709 29472 33408 35612 39296 44208 53418 58944 71224 80127 88416 106836 117888 142448 160254 176832 213672 284896 320508 353664 427344 569792 641016 854688 1139584 1282032 1709376 2564064 3418752 5128128 10256256