2020 CIME I Problems/Problem 10

Problem 10

Let $1=d_1<d_2<\cdots<d_k=n$ be the divisors of a positive integer $n$ . Let $S$ be the sum of all positive integers $n$ satisfying $n=d_1^1+d_2^2+d_3^3+d_4^4.$ Find the remainder when $S$ is divided by $1000$ .

Solution

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2020 CIME I (Problems • Answer Key • Resources)
Preceded by Problem 9	Followed by Problem 11
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
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2020 CIME I Problems/Problem 10

Problem 10

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