# Python Exercises: Check if a number is a Harshad number or not

## Python Math: Exercise-90 with Solution

In recreational mathematics, a Harshad number in a given number base, is an integer that is divisible by the sum of its digits when written in that base.

Example: The number 18 is a Harshad number in base 10, because the sum of the digits 1 and 8 is 9 (1 + 8 = 9), and 18 is divisible by 9.

The number 19 is not a harshad number in base 10, because the sum of the digits 1 and 9 is 10 (1 + 9 = 10), and 19 is not divisible by 10.

Harshad numbers in base 10 form the sequence:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, 27, 30, 36, 40, 42, 45, 48, 50, 54, 60, 63, 70, 72, 80, 81, 84, 90, 100, 102, 108, 110, 111, 112, 114, 117, 120, 126, 132, 133, 135, 140, 144, 150, 152, 153, 156, 162, 171, 180, 190, 192, 195, 198, 200, ....

Write a Python program to check if a given number is a Harshad number or not. Return True if the number is Harshad otherwise False.

**Sample Data:**

(666) -> True

(11) -> False

(-144) -> None

(200) -> True

**Sample Solution-1:**

**Python Code:**

```
def test(n):
if (n>0):
a = 0
b = n
while b > 0:
a = a + b % 10
b = b // 10
return not n % a
n = 666
print("Original number:", n)
print("Check the said number is a Harshad number or not!")
print(test(n))
n = 11
print("\nOriginal number:", n)
print("Check the said number is a Harshad number or not!")
print(test(n))
n = -144
print("\nOriginal number:", n)
print("Check the said number is a Harshad number or not!")
print(test(n))
n = 200
print("\nOriginal number:", n)
print("Check the said number is a Harshad number or not!")
print(test(n))
```

Sample Output:

Original number: 666 Check the said number is a Harshad number or not! True Original number: 11 Check the said number is a Harshad number or not! False Original number: -144 Check the said number is a Harshad number or not! None Original number: 200 Check the said number is a Harshad number or not! True

**Flowchart:**

## Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:

**Sample Solution-2:**

**Python Code:**

```
def test(n):
if (n>0):
t = sum(map(int, str(n)))
return not n % t
n = 666
print("Original number:", n)
print("Check the said number is a Harshad number or not!")
print(test(n))
n = 11
print("\nOriginal number:", n)
print("Check the said number is a Harshad number or not!")
print(test(n))
n = -144
print("\nOriginal number:", n)
print("Check the said number is a Harshad number or not!")
print(test(n))
n = 200
print("\nOriginal number:", n)
print("Check the said number is a Harshad number or not!")
print(test(n))
```

Sample Output:

Original number: 666 Check the said number is a Harshad number or not! True Original number: 11 Check the said number is a Harshad number or not! False Original number: -144 Check the said number is a Harshad number or not! None Original number: 200 Check the said number is a Harshad number or not! True

**Flowchart:**

## Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:

**Python Code Editor:**

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**Previous Python Exercise:** Check a number is a repdigit number or not.

**Next Python Exercise:** Next number containing only distinct digits.

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## Python: Tips of the Day

**Summing a sequence of numbers (calculating the sum of zero to ten with skips):**

>>> l = range(0,10,2) >>> sum(l) 20

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