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10256896 = 29132367
BaseRepresentation
bin100111001000…
…001000000000
3201022002211001
4213020020000
510111210041
61003501344
7153116326
oct47101000
921262731
1010256896
115876181
123527854
132181790
14150dd16
15d79131
hex9c8200

10256896 has 80 divisors (see below), whose sum is σ = 23373504. Its totient is φ = 4460544.

The previous prime is 10256861. The next prime is 10256947. The reversal of 10256896 is 69865201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153055 + ... + 153121.

Almost surely, 210256896 is an apocalyptic number.

10256896 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 10256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686752).

10256896 is an abundant number, since it is smaller than the sum of its proper divisors (13116608).

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

10256896 is an equidigital number, since it uses as much as digits as its factorization.

10256896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 10256896 is about 3202.6389118975. The cubic root of 10256896 is about 217.2727780740.

It can be divided in two parts, 1025 and 6896, that added together give a square (7921 = 892).

The spelling of 10256896 in words is "ten million, two hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 67 92 104 128 134 184 208 256 268 299 368 416 512 536 598 736 832 871 1072 1196 1472 1541 1664 1742 2144 2392 2944 3082 3328 3484 4288 4784 5888 6164 6656 6968 8576 9568 11776 12328 13936 17152 19136 20033 24656 27872 34304 38272 40066 49312 55744 76544 80132 98624 111488 153088 160264 197248 222976 320528 394496 445952 641056 788992 1282112 2564224 5128448 10256896