Add a number 4 before or after the number 1996, and the resulting two five-digit numbers can be divisible by 4. Now please find a three-digit number and add it before or after 1996, so that the resulting two seven-digit numbers can be divisible by this three-digit number. How many such three-digit numbers are there in total?
在1996这个数的前面或后面添写一个数4，所得到的两个五位数均能被4整除．现在请你找出一个三位数添写在1996的前面或后面，使所得的两个七位数都能被这个三位数整除，这样的三位数共有多少个．
<result>2</result>