Search a number
-
+
11113326 = 2327193457
BaseRepresentation
bin101010011001…
…001101101110
3202220121121200
4222121031232
510321111301
61034110330
7163314240
oct52311556
922817550
1011113326
116300674
12387b3a6
1323c1543
141694090
15e97c86
hexa9936e

11113326 has 48 divisors (see below), whose sum is σ = 27721824. Its totient is φ = 3151872.

The previous prime is 11113321. The next prime is 11113339. The reversal of 11113326 is 62331111.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 11113299 and 11113308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24090 + ... + 24546.

It is an arithmetic number, because the mean of its divisors is an integer number (577538).

Almost surely, 211113326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11113326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860912).

11113326 is an abundant number, since it is smaller than the sum of its proper divisors (16608498).

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

11113326 is a wasteful number, since it uses less digits than its factorization.

11113326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 662 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 11113326 is about 3333.6655501115. The cubic root of 11113326 is about 223.1591429050.

Adding to 11113326 its reverse (62331111), we get a palindrome (73444437).

The spelling of 11113326 in words is "eleven million, one hundred thirteen thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 193 386 457 579 914 1158 1351 1371 1737 2702 2742 3199 3474 4053 4113 6398 8106 8226 9597 12159 19194 24318 28791 57582 88201 176402 264603 529206 617407 793809 1234814 1587618 1852221 3704442 5556663 11113326