Suppose a1, a2, ..., ak are k natural numbers that are not equal to each other and greater than 0, and their sum is 2006, then what is the maximum value of k?
设a1，a2，…，ak是k个互不相等的，大于0的自然数，而且它们的和为2006，那么k的最大值是多少．
<gadget id="calculator">62 + 1</gadget>
<output>63</output>

<result>63</result>