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11058816 = 27331929
BaseRepresentation
bin101010001011…
…111010000000
3202210211211210
4222023322000
510312340231
61033010120
7162666306
oct52137200
922724753
1011058816
11627371a
123853940
1323a27a2
14167c276
15e86a46
hexa8be80

11058816 has 64 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 3563520.

The previous prime is 11058797. The next prime is 11058829. The reversal of 11058816 is 61885011.

It is a happy number.

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

It is a super-2 number, since 2×110588162 = 244594822643712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11440 + ... + 12368.

It is an arithmetic number, because the mean of its divisors is an integer number (474300).

Almost surely, 211058816 is an apocalyptic number.

11058816 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 11058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

11058816 is an abundant number, since it is smaller than the sum of its proper divisors (19296384).

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

11058816 is an equidigital number, since it uses as much as digits as its factorization.

11058816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 11058816 is about 3325.4798150041. The cubic root of 11058816 is about 222.7936853231.

The spelling of 11058816 in words is "eleven million, fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 929 992 1488 1858 1984 2787 2976 3716 3968 5574 5952 7432 11148 11904 14864 22296 28799 29728 44592 57598 59456 86397 89184 115196 118912 172794 178368 230392 345588 356736 460784 691176 921568 1382352 1843136 2764704 3686272 5529408 11058816