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11113368 = 233783797
BaseRepresentation
bin101010011001…
…001110011000
3202220121200020
4222121032120
510321111433
61034110440
7163314330
oct52311630
922817606
1011113368
116300702
12387b420
1323c1576
1416940c0
15e97cb3
hexa99398

11113368 has 64 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 3133056.

The previous prime is 11113367. The next prime is 11113379. The reversal of 11113368 is 86331111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13546 + ... + 14342.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 211113368 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 11113368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

11113368 is an abundant number, since it is smaller than the sum of its proper divisors (21061992).

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

11113368 is a wasteful number, since it uses less digits than its factorization.

11113368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 11113368 is about 3333.6718494777. The cubic root of 11113368 is about 223.1594240291.

Adding to 11113368 its reverse (86331111), we get a palindrome (97444479).

The spelling of 11113368 in words is "eleven million, one hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 797 996 1162 1594 1743 1992 2324 2391 3188 3486 4648 4782 5579 6376 6972 9564 11158 13944 16737 19128 22316 33474 44632 66151 66948 132302 133896 198453 264604 396906 463057 529208 793812 926114 1389171 1587624 1852228 2778342 3704456 5556684 11113368