Question 50
Let $1 = d_1 \lt d_2 \lt d_3 \lt \dots \lt d_n = N$ be the list of all positive divisors of the integer $N$. Check that $N = 2020$ is a number for which
$$
N = d_3d_4d_7 \quad \text{and} \quad d_3d_4 \lt d_7.
$$
Find all numbers $N$ satisfying these conditions.
$$
N = d_3d_4d_7 \quad \text{and} \quad d_3d_4 \lt d_7.
$$
Find all numbers $N$ satisfying these conditions.