# [J], <sup><s>32</s></sup> <sup><s>26</s></sup> <sup><s>23</s></sup> 16 bytes

    60*/ .>100#.inv]

[Try it online!][TIO-k724pgz1]

[J]: http://jsoftware.com/
[TIO-k724pgz1]: https://tio.run/##ZY@xDsIwDET3foUFQwUq4ZLIVVypLEhMTOxMiAoYYOvvh6hiiM3g4aS757tXXrl2onGgljoCDeV2jo6X8yn32O7JHTywds/3fM2b5n57fMjTSBOhFvxTWFSvlEhTWwtOSZba7HXWi9TmEHU4RJ0OUcdD/H9u3gOmAGAqAAYSOJkanEwPTqYIJ71ELEMsQyxDFoadWyj5Cw "J – Try It Online"

*-16 bytes (!!) thanks to Adam.  This new solution uses the approach from [his APL answer](https://codegolf.stackexchange.com/a/200094/43319) so be sure to upvote that.*

Convert the input to base 100, check that all digits are less than 60.

Note the most significant digit is guaranteed to be less than 24 by the allowed inputs.