Chef and Spooky Bottles

Chef has bottles of several capacities. He likes to note down, for each bottle, those smaller amounts that he can use to exactly divide its contents. He calls these amounts "helper amounts". For example, the helper amounts of a 21 L bottle are 1 L (since he can use 21 of these to divide the contents), 3 L (he can use 7 of these), and 7 L (he can use 3 of these). Similarly, a 20 L bottle has helpe