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11027136 = 26379727
BaseRepresentation
bin101010000100…
…001011000000
3202202020101110
4222010023000
510310332021
61032203320
7162505041
oct52041300
922666343
1011027136
11625193a
123839540
132391243
1416708c8
15e7c476
hexa842c0

11027136 has 56 divisors (see below), whose sum is σ = 29585920. Its totient is φ = 3624192.

The previous prime is 11027129. The next prime is 11027173. The reversal of 11027136 is 63172011.

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, 14805 + ... + 15531.

It is an arithmetic number, because the mean of its divisors is an integer number (528320).

Almost surely, 211027136 is an apocalyptic number.

11027136 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 11027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792960).

11027136 is an abundant number, since it is smaller than the sum of its proper divisors (18558784).

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

11027136 is an equidigital number, since it uses as much as digits as its factorization.

11027136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 11027136 is about 3320.7131764126. The cubic root of 11027136 is about 222.5807374379.

Adding to 11027136 its reverse (63172011), we get a palindrome (74199147).

The spelling of 11027136 in words is "eleven million, twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 727 948 1264 1454 1896 2181 2528 2908 3792 4362 5056 5816 7584 8724 11632 15168 17448 23264 34896 46528 57433 69792 114866 139584 172299 229732 344598 459464 689196 918928 1378392 1837856 2756784 3675712 5513568 11027136