A humble number is a number that consists of prime factors which are less than 10.
How many humble numbers does divide?
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By definition, a humble number is a number whose prime factors consists of 2, 3, 5, or 7. It is a number of the form 2 a × 3 b × 5 c × 7 d , where a , b , c , and d are non-negative integers.
Since 2 1 0 is a humble number, it can divide any humble number of the form 2 a × 3 b × 5 c × 7 d , where a , b , c , and d are integers all greater than or equal to 1.