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11215104 = 28317859
BaseRepresentation
bin101010110010…
…000100000000
3210002210020020
4222302010000
510332340404
61040213440
7164220045
oct52620400
923083206
1011215104
11637008a
12390a280
132428974
1416bd1cc
15eb7ed9
hexab2100

11215104 has 72 divisors (see below), whose sum is σ = 31641120. Its totient is φ = 3514368.

The previous prime is 11215097. The next prime is 11215117. The reversal of 11215104 is 40151211.

It is a happy 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, 12627 + ... + 13485.

It is an arithmetic number, because the mean of its divisors is an integer number (439460).

Almost surely, 211215104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15820560).

11215104 is an abundant number, since it is smaller than the sum of its proper divisors (20426016).

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

11215104 is an equidigital number, since it uses as much as digits as its factorization.

11215104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 11215104 is about 3348.8959374695. The cubic root of 11215104 is about 223.8383187020.

Adding to 11215104 its reverse (40151211), we get a palindrome (51366315).

The spelling of 11215104 in words is "eleven million, two hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 859 1088 1632 1718 2176 2577 3264 3436 4352 5154 6528 6872 10308 13056 13744 14603 20616 27488 29206 41232 43809 54976 58412 82464 87618 109952 116824 164928 175236 219904 233648 329856 350472 467296 659712 700944 934592 1401888 1869184 2803776 3738368 5607552 11215104