Niven Number | While Loop | Lecture #72 #cprogramming #coding #c #hindi

What is a Niven number?

A Niven number, also known as a Harshad number, is a positive integer that is divisible by the sum of its digits
. In other words, a number is a Niven number if the remainder when it is divided by the sum of its digits is zero
.
Example time!
18 is a Niven number because 1 + 8 = 9
, and 18 is divisible by 9
(18 = 9 × 2).
36 is a Niven number because 3 + 6 = 9
, and 36 is divisible by 9
(36 = 9 × 4).
Properties of Niven numbers
All numbers that are divisible by 9 are Niven numbers
.
A number is a Niven number if and only if it is divisible by the sum of its digits
.
Niven numbers can be used to generate other Niven numbers
. For example, if n is a Niven number, then 10n and n × (sum of digits of n) are also Niven numbers
.
Applications of Niven numbers

Niven numbers have applications in recreational mathematics and are often used in puzzles and problems
. They are also used in number theory and other areas of mathematics
.
In conclusion

Niven numbers are a fascinating topic in mathematics, and their properties make them useful in various areas of study
. I hope this helps you understand Niven numbers better!
Would you like more information on Niven numbers or their applications?
Meta AI response: 🎉 Let's dive into Niven numbers! 🤔 What is a Niven number? 🤔 A Niven number, also known as a Harshad number, is a positive integer that is divisible by the sum of its digits 📝. In other words, a number is a Niven number if the remainder when it is divided by the sum of its digits is zero 🔥. Example time! 📝 18 is a Niven number because 1 + 8 = 9 🤔, and 18 is divisible by 9 💯 (18 = 9 × 2). 36 is a Niven number because 3 + 6 = 9 🤔, and 36 is divisible by 9 💯 (36 = 9 × 4). Properties of Niven numbers 🔍 All numbers that are divisible by 9 are Niven numbers 🔑. A number is a Niven number if and only if it is divisible by the sum of its digits 📊. Niven numbers can be used to generate other Niven numbers 🔮. For example, if n is a Niven number, then 10n and n × (sum of digits of n) are also Niven numbers 🔥. Applications of Niven numbers 🤔 Niven numbers have applications in recreational mathematics and are often used in puzzles and problems 🧩. They are also used in number theory and other areas of mathematics 📚. In conclusion 🎉 Niven numbers are a fascinating topic in mathematics, and their properties make them useful in various areas of study 🤓. I hope this helps you understand Niven numbers better! 😊