If there is a natural number divided by 15, 17, 19, the sum of the quotient and the remainder are equal, and both the quotient and the remainder are greater than 1, then what is this natural number?
有一个自然数除以15、17、19所得到的商与余数之和都相等，并且商和余数都大于1，那么这个自然数是多少？
<gadget id="calculator">15 * 72</gadget>
<output>1_080</output>

<gadget id="calculator">1_080 + 2</gadget>
<output>1_082</output>

<result>1_082</result>