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11085056 = 28194353
BaseRepresentation
bin101010010010…
…010100000000
3202212011211122
4222102110000
510314210211
61033331412
7163135643
oct52222400
922764748
1011085056
116291404
123866b68
1323b1708
141687a5a
15e8e6db
hexa92500

11085056 has 72 divisors (see below), whose sum is σ = 24282720. Its totient is φ = 5031936.

The previous prime is 11085049. The next prime is 11085077. The reversal of 11085056 is 65058011.

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, 209126 + ... + 209178.

It is an arithmetic number, because the mean of its divisors is an integer number (337260).

Almost surely, 211085056 is an apocalyptic number.

11085056 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 11085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12141360).

11085056 is an abundant number, since it is smaller than the sum of its proper divisors (13197664).

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

11085056 is an equidigital number, since it uses as much as digits as its factorization.

11085056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 11085056 is about 3329.4227727941. The cubic root of 11085056 is about 222.9697586801.

The spelling of 11085056 in words is "eleven million, eighty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 43 53 64 76 86 106 128 152 172 212 256 304 344 424 608 688 817 848 1007 1216 1376 1634 1696 2014 2279 2432 2752 3268 3392 4028 4558 4864 5504 6536 6784 8056 9116 11008 13072 13568 16112 18232 26144 32224 36464 43301 52288 64448 72928 86602 104576 128896 145856 173204 209152 257792 291712 346408 583424 692816 1385632 2771264 5542528 11085056