Search a number
-
+
11040786 = 2341719211
BaseRepresentation
bin101010000111…
…100000010010
3202202221010000
4222013200102
510311301121
61032350430
7162562611
oct52074022
922687100
1011040786
116261119
123845416
132397513
141675878
15e81526
hexa87812

11040786 has 80 divisors (see below), whose sum is σ = 27704160. Its totient is φ = 3265920.

The previous prime is 11040779. The next prime is 11040787. The reversal of 11040786 is 68704011.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (11040787) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52221 + ... + 52431.

It is an arithmetic number, because the mean of its divisors is an integer number (346302).

Almost surely, 211040786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13852080).

11040786 is an abundant number, since it is smaller than the sum of its proper divisors (16663374).

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

11040786 is a wasteful number, since it uses less digits than its factorization.

11040786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11040786 is about 3322.7678221627. The cubic root of 11040786 is about 222.6725404923.

Adding to 11040786 its reverse (68704011), we get a palindrome (79744797).

The spelling of 11040786 in words is "eleven million, forty thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 211 306 323 342 422 459 513 633 646 918 969 1026 1266 1377 1539 1899 1938 2754 2907 3078 3587 3798 4009 5697 5814 7174 8018 8721 10761 11394 12027 17091 17442 21522 24054 26163 32283 34182 36081 52326 64566 68153 72162 96849 108243 136306 193698 204459 216486 290547 324729 408918 581094 613377 649458 1226754 1840131 3680262 5520393 11040786