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10868256 = 25347599
BaseRepresentation
bin101001011101…
…011000100000
3202110011110000
4221131120200
510240241011
61024540000
7161243610
oct51353040
922404400
1010868256
116153533
123781600
132336b29
14162ca40
15e4a356
hexa5d620

10868256 has 120 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 3100032.

The previous prime is 10868203. The next prime is 10868317. The reversal of 10868256 is 65286801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10868256.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17845 + ... + 18443.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 210868256 is an apocalyptic number.

10868256 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 10868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

10868256 is an abundant number, since it is smaller than the sum of its proper divisors (25722144).

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

10868256 is an equidigital number, since it uses as much as digits as its factorization.

10868256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 10868256 is about 3296.7038083516. The cubic root of 10868256 is about 221.5065739361.

The spelling of 10868256 in words is "ten million, eight hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 599 648 672 756 864 1008 1134 1198 1296 1512 1797 2016 2268 2396 2592 3024 3594 4193 4536 4792 5391 6048 7188 8386 9072 9584 10782 12579 14376 16173 16772 18144 19168 21564 25158 28752 32346 33544 37737 43128 48519 50316 57504 64692 67088 75474 86256 97038 100632 113211 129384 134176 150948 172512 194076 201264 226422 258768 301896 339633 388152 402528 452844 517536 603792 679266 776304 905688 1207584 1358532 1552608 1811376 2717064 3622752 5434128 10868256