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10796256 = 2532191973
BaseRepresentation
bin101001001011…
…110011100000
3202022111200100
4221023303200
510230440011
61023222400
7160523652
oct51136340
922274610
1010796256
116104429
123747a00
132310123
1416106d2
15e33d56
hexa4bce0

10796256 has 72 divisors (see below), whose sum is σ = 32334120. Its totient is φ = 3407616.

The previous prime is 10796251. The next prime is 10796273. The reversal of 10796256 is 65269701.

It is a tau number, because it is divible by the number of its divisors (72).

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 10796256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10796251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4486 + ... + 6458.

It is an arithmetic number, because the mean of its divisors is an integer number (449085).

Almost surely, 210796256 is an apocalyptic number.

10796256 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 10796256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167060).

10796256 is an abundant number, since it is smaller than the sum of its proper divisors (21537864).

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

10796256 is a wasteful number, since it uses less digits than its factorization.

10796256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 10796256 is about 3285.7656641946. The cubic root of 10796256 is about 221.0163443479.

The spelling of 10796256 in words is "ten million, seven hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 1973 2736 3946 5472 5919 7892 11838 15784 17757 23676 31568 35514 37487 47352 63136 71028 74974 94704 112461 142056 149948 189408 224922 284112 299896 337383 449844 568224 599792 674766 899688 1199584 1349532 1799376 2699064 3598752 5398128 10796256