antiprime | highly abundant number | Julian number

Highly composite numbers are numbers such that divisor function d(n) = σ_0(n) (i.e., the number of divisors of n) is greater than for any smaller n. Superabundant numbers are closely related to highly composite numbers, and the first 19 superabundant and highly composite numbers are the same.

abundant number | divisor | divisor function | highly cototient number | roundness | round number | smooth number | superabundant number | superior highly composite number

Srinivasa Aiyangar Ramanujan