# Leetcode - Self Dividing Numbers Solution

A *self-dividing number* is a number that is divisible by every digit it contains.

For example, 128 is a self-dividing number because `128 % 1 == 0`

, `128 % 2 == 0`

, and `128 % 8 == 0`

.

Also, a self-dividing number is not allowed to contain the digit zero.

Given a lower and upper number bound, output a list of every possible self dividing number, including the bounds if possible.

**Example 1:**

```
Input:
left = 1, right = 22
Output: [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 22]
```

**Note:**

- The boundaries of each input argument are
`1 <= left <= right <= 10000`

.

## Solution in Python

```
class Solution:
@staticmethod
def isSelfDividing(num):
for i in str(num):
i = int(i)
if i==0 or num%i!=0:
return False
else:
return True
def selfDividingNumbers(self, left: int, right: int) -> List[int]:
arr = []
for i in range(left,right+1):
if self.isSelfDividing(i):
arr.append(i)
return arr
```