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10928256 = 273149191
BaseRepresentation
bin101001101100…
…000010000000
3202120012202020
4221230002000
510244201011
61030121440
7161613543
oct51540200
922505666
1010928256
116194619
1237b0280
132358231
14164685a
15e5d006
hexa6c080

10928256 has 64 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 3599360.

The previous prime is 10928233. The next prime is 10928293. The reversal of 10928256 is 65282901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57121 + ... + 57311.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 210928256 is an apocalyptic number.

10928256 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 10928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

10928256 is an abundant number, since it is smaller than the sum of its proper divisors (18447744).

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

10928256 is a wasteful number, since it uses less digits than its factorization.

10928256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10928256 is about 3305.7912819777. The cubic root of 10928256 is about 221.9134473081.

The spelling of 10928256 in words is "ten million, nine hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 191 192 298 382 384 447 573 596 764 894 1146 1192 1528 1788 2292 2384 3056 3576 4584 4768 6112 7152 9168 9536 12224 14304 18336 19072 24448 28459 28608 36672 56918 57216 73344 85377 113836 170754 227672 341508 455344 683016 910688 1366032 1821376 2732064 3642752 5464128 10928256