The Harshad or Niven numbers are positive integers ≥ 1 that are divisible by the sum of their digits.

For example,   42   is a Harshad number as   42   is divisible by   (4 + 2)   without remainder.

Assume that the series is defined as the numbers in increasing order.



Task

The task is to create a function/method/procedure to generate successive members of the Harshad sequence.

Use it to:

   list the first 20 members of the sequence,   and
   list the first Harshad number greater than 1000.


Show your output here.



Related task
   Increasing gaps between consecutive Niven numbers


See also
    OEIS: A005349


 
function sumDigitos(n)
	if n < 0 then return 0
	suma = 0
	while n > 0
		suma = suma + (n mod 10)
		n = n \ 10
	end while
	return suma
end function
 
function isHarshad(n)
	return n mod sumDigitos(n) = 0
end function
 
print "Los primeros 20 números de Harshad o Niven son:"
cuenta = 0
i = 1
 
do
	if isHarshad(i) then
		print i; " ";
		cuenta += 1
	end if
	i += 1
until cuenta = 20
 
print : print
print "El primero de esos números por encima de 1000 es:"
i = 1001
 
do
	if isHarshad(i) then
		print i; " "
		exit do
	end if
	i += 1
until false
end
 