友人给我这样一道趣题:“是否存在以‘2016’结尾的立方数?”这是一道深得深思的带有开放性的探索题.问题的结论是:“存在的”.本文利用“和的立方公式”与整数的一些性质,从个、十、百、千位上以此地凑数.用分类讨论的方法给予全面探索,从而找出所有的立方数. My friend asked me the following question: “Is there any cube with an ending of ’2016’?” This is a thought-provoking exploration question with an openness. In this paper, we use the “cubic formula” of “and” and some properties of integers to make up the numbers from one, ten, one hundred, and thousands places, and give full exploration through the method of category discussion so as to find out all the cubic numbers.