36756720

Appears in sequences

• Largest number divisible by all numbers < its n-th root.at n=5A003102
• Numbers k such that sigma(k)/phi(k) sets a new record.at n=37A018894
• Least highly composite number divisible by n.at n=33A022404
• Least highly composite number divisible by n.at n=16A022404
• LCM of numbers m such that 1 <= m <= n, m has a common factor with n, but m does not divide n.at n=50A066575
• Least number m such that integer part of sigma(m)/phi(m) equals n.at n=26A070033
• Least k such that n*prime(k) <= k*tau(k).at n=31A073066
• Least k such that n*prime(k) <= k*tau(k).at n=32A073066
• Least highly composite number having n distinct prime factors.at n=6A086332
• Deeply composite numbers: numbers n where sigma_k(n) increases to a record for all sufficiently low (i.e., negative) values of k.at n=33A095848
• Numbers j where sigma_k(j) increases to a record for all real values of k.at n=29A095849
• a(n) is the smallest number m for which none of the first n multiples of m has twice as many divisors as m.at n=16A135060
• a(n) is the smallest number m for which none of the first n multiples of m has twice as many divisors as m.at n=17A135060
• Numbers that set records for the number by which they must be multiplied to double the number of divisors.at n=13A138570
• a(n) is the smallest integer k such that n*k is the smallest multiple of k with twice as many divisors as k, or 0 if no such number is possible.at n=17A139315
• Numbers n such that n, 2n, 3n are all highly composite numbers.at n=17A143770
• Highly composite numbers (A002182) containing equal number of odd and even digits.at n=4A144973
• Superabundant numbers (A004394) that are not colossally abundant (A004490).at n=26A189228
• Where records occur in A129308 and also in A195155.at n=27A195307
• Generalized 2-super abundant numbers.at n=36A208767