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11128806 = 2331383191
BaseRepresentation
bin101010011100…
…111111100110
3202221101212000
4222130333212
510322110211
61034310130
7163410333
oct52347746
922841760
1011128806
116311267
123888346
1323c85c0
14169998a
15e9c656
hexa9cfe6

11128806 has 64 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 3365280.

The previous prime is 11128771. The next prime is 11128811. The reversal of 11128806 is 60882111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11128806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58171 + ... + 58361.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 211128806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11128806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

11128806 is an abundant number, since it is smaller than the sum of its proper divisors (15966234).

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

11128806 is a wasteful number, since it uses less digits than its factorization.

11128806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11128806 is about 3335.9865107641. The cubic root of 11128806 is about 223.2627092847.

The spelling of 11128806 in words is "eleven million, one hundred twenty-eight thousand, eight hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 83 117 166 191 234 249 351 382 498 573 702 747 1079 1146 1494 1719 2158 2241 2483 3237 3438 4482 4966 5157 6474 7449 9711 10314 14898 15853 19422 22347 29133 31706 44694 47559 58266 67041 95118 134082 142677 206089 285354 412178 428031 618267 856062 1236534 1854801 3709602 5564403 11128806