Harshad Number Calculator

The Harshad Number Calculator is a free online tool used to check if the number is a Harshad number.

Harshad Number Calculator

Eg, Is 54 a Harshad number? Enter 54 into the input box and click Calculate button.

What is a Harshad number?

A Harshad number (also called Niven number) is a natural number that is divisible by the sum of its digits. Obviously, 1-digit numbers are all Harshad numbers.

For example, Is 115 a Harshad number?

First, calculate the sum of its digits.

1 + 1 + 5 = 7

Second, determine whether it is divisible.

115 ÷ 7 = 15

The answer is an integer. So, 115 is a Harshad number.

Another example, Is 2023 a Harshad number?

The sum of 2023 digits is

2 + 0 + 2 + 3 = 7

Then, 2023 divided by the sum 7

2023 ÷ 7 = 289

Divisible. So, 2023 is a Harshad number.

In addition to the decimal base, Harshad number can be defined in other bases. No matter which base is used, there are infinitely many Harshad numbers.

First 100 Harshad numbers in decimal

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	201
204	207	209	210	216	220	222	224	225	228
230	234	240	243	247	252	261	264	266	270
280	285	288	300	306	308	312	315	320	322
324	330	333	336	342	351	360	364	370	372

How to use the Harshad number calculator

The procedure to use the Harshad number calculator is as follows:

1Enter the positive number.
2Click Calculate button to verify whether the input number is a Harshad number.
3Click the Reset button to start a new verification.

Solved examples using the Harshad number calculator

Example 1: Is 1451 a Harshad number?

Enter 1451 into the input box and click Calculate button, as shown in the figure, 1451 is not a Harshad number.

14511 + 4 + 5 + 1 = 145111 = 131.91

The answer is not an integer. So, 1451 is not a Harshad number.

Example 2: Is 2022 a Harshad number?

Enter 2022 into the input box and click Calculate button, as shown in the figure, 2022 is a Harshad number.

20222 + 0 + 2 + 2 = 20226 = 337

The answer is an integer. So, 2022 is a Harshad number.

Harshad Number Calculator