What is the sum of all positive integers $r$ that satisfy $$\mathop{\text{lcm}}[r,700] = 7000~?$$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the sum of all positive integers $r$ that satisfy $$\mathop{\text{lcm}}[r,700] = 7000~?$$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
8000
What is the sum of all positive integers $r$ that satisfy $$\mathop{\text{lcm}}[r,700] = 7000~?$$
train