EasyNo. 2520

Count the Digits That Divide a Number — LeetCode 2520 Python Solution

Topics
Math
Reading time
2 min

The problem

Given an integer num, return the number of digits in num that divide num. An integer val divides nums if nums % val == 0.

Example

Input
num = 7
Output
1
Explanation
7 divides itself, hence the answer is 1.

Python solution

PythonSolution
class Solution:
    def countDigits(self, num: int) -> int:
        ans, x = 0, num
        while x:
            x, val = divmod(x, 10)
            ans += num % val == 0
        return ans

Complexity

Time
O(log num)
Space · auxiliary
O(1)

Pattern: Math and Number Theory

Find the closed form, the invariant, or the modular identity — and skip the loop entirely. LeetCode 2520. Count the Digits That Divide a Number is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Math.

The math and number theory guide has the Python template for the pattern and the 485 LeetCode problems that use it.

Related problems

Related problems
No.ProblemDifficulty
2523Closest Prime Numbers in RangeMedium
2525Categorize Box According to CriteriaEasy
0002Add Two NumbersMedium
0007Reverse IntegerMedium
0009Palindrome NumberEasy
0043Multiply StringsMedium

Frequently asked questions

How hard is LeetCode 2520. Count the Digits That Divide a Number?

LeetCode 2520. Count the Digits That Divide a Number is rated Easy on LeetCode.

What is the time complexity of LeetCode 2520. Count the Digits That Divide a Number?

The Python solution on this page runs in O(log num).

What is the space complexity of LeetCode 2520. Count the Digits That Divide a Number?

The Python solution on this page uses O(1) auxiliary space.

What topics does LeetCode 2520. Count the Digits That Divide a Number cover?

LeetCode 2520. Count the Digits That Divide a Number is tagged Math on LeetCode.

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