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10728896 = 26533163
BaseRepresentation
bin101000111011…
…010111000000
3202012002021112
4220323113000
510221311041
61021542452
7160123403
oct50732700
922162245
1010728896
116068862
123714a28
1322b8579
1415d3d3a
15e1ddeb
hexa3b5c0

10728896 has 28 divisors (see below), whose sum is σ = 21698712. Its totient is φ = 5261568.

The previous prime is 10728889. The next prime is 10728899. The reversal of 10728896 is 69882701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728899) 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 3 ways as a sum of consecutive naturals, for example, 1811 + ... + 4973.

It is an arithmetic number, because the mean of its divisors is an integer number (774954).

Almost surely, 210728896 is an apocalyptic number.

10728896 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 10728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849356).

10728896 is an abundant number, since it is smaller than the sum of its proper divisors (10969816).

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

10728896 is an equidigital number, since it uses as much as digits as its factorization.

10728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 10728896 is about 3275.4993512440. The cubic root of 10728896 is about 220.5557300049. Note that the first 3 decimals are identical.

The spelling of 10728896 in words is "ten million, seven hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3163 3392 6326 12652 25304 50608 101216 167639 202432 335278 670556 1341112 2682224 5364448 10728896