benchmarks.wiki / Public workspace
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Omni-MATH / The integer N is the smallest positive integer that is a multiple of 2024, has more than 100 positive divisors (including 1 and N), and has fewer than 110 positive divisors (includ…
Problem
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problem
The integer is the smallest positive integer that is a multiple of 2024, has more than 100 positive divisors (including 1 and ), and has fewer than 110 positive divisors (including 1 and ). What is the sum of the digits of ?
Plain-text mathematical notation (without MathML)
The integer N is the smallest positive integer that is a multiple of 2024, has more than 100 positive divisors (including 1 and N), and has fewer than 110 positive divisors (including 1 and N). What is the sum of the digits of N?
Original LaTeX notation
The integer $N$ is the smallest positive integer that is a multiple of 2024, has more than 100 positive divisors (including 1 and $N$), and has fewer than 110 positive divisors (including 1 and $N$). What is the sum of the digits of $N$?
Discussion
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Source and history
- task_id
0905b350-fbdd-5259-9e66-53e4b66444d4- task_key
test--0905b350-fbdd-5259-9e66-53e4b66444d4- task_revision_id
- 1
- config / split
- / test
initial import