WebNiven numbers, a mathematical concept; Niven's theorem; 12513 Niven, asteroid named after Ivan M. Niven; James Niven, Scottish physician; Jennifer Niven, American … WebFor example, 126 is a Niven number because, the sum of its digits 1 + 2 + 6, is 9, and 9 goes into 126 exactly 14 times. Niven numbers are name after the number theorist Ivan …
TYPES OF NUMBERS: a glossary - David Darling
Web1) A Harshad number (or a Niven number) is a number that is evenly divisible by the sum of its digits. An example is 18 (1+8=9, 18%9 = 0) or 270 (2+7+0=9, 270%9 = 0). Write a function called isHarshad(num) that takes an integer as an argument and returns True if the number is a Harshad number and False if it is not. A Nivenmorphic number or harshadmorphic number for a given number base is an integer t such that there exists some harshad number N whose digit sum is t, and t, written in that base, terminates N written in the same base. For example, 18 is a Nivenmorphic number for base 10: Sandro Boscaro determined … See more In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base n are also known as n-harshad (or n … See more • The number 18 is a harshad number in base 10, because the sum of the digits 1 and 8 is 9, and 18 is divisible by 9. • The Hardy–Ramanujan number (1729) See more The harshad numbers in base 12 are: 1, 2, 3, 4, 5, 6, 7, 8, 9, ᘔ, Ɛ, 10, 1ᘔ, 20, 29, 30, 38, 40, 47, 50, 56, 60, 65, 70, 74, 80, 83, 90, 92, ᘔ0, ᘔ1, Ɛ0, 100, 10ᘔ, 110, 115, 119, 120, 122, 128, … See more Every natural number not exceeding one billion is either a harshad number or the sum of two harshad numbers. Conditional to a technical hypothesis on the zeros of certain See more Stated mathematically, let X be a positive integer with m digits when written in base n, and let the digits be $${\displaystyle a_{i}}$$ ($${\displaystyle i=0,1,\ldots ,m-1}$$). (It follows that $${\displaystyle a_{i}}$$ must be either zero or a positive integer up to See more Given the divisibility test for 9, one might be tempted to generalize that all numbers divisible by 9 are also harshad numbers. But for the purpose of determining the harshadness of n, … See more Maximal runs of consecutive harshad numbers Cooper and Kennedy proved in 1993 that no 21 consecutive integers are all harshad numbers in base … See more howhit 150cc
Niven Number Program in Java
http://cs.ucmo.edu/~cnc8851/articles/super.pdf WebHarshad Number A number is called a harshad number if the number is divisible by the sum of its digits. Harshad numbers are also known as Niven numbers. For example: 156 is divisible by the sum of its digits, i.e. 1 + 5 + 6 = 12 num = int(input("Enter a number: ")) digit = sum = 0 temp = num # Calculates sum of digits while(temp > 0): WebNumber Theory Made Easy! Learn All About Integers; Numerals; Natural Numbers; Whole Numbers; Rational Numbers; Fractional Numbers and more! how history will judge queen elizabeth ii