698377680

Appears in sequences

• Least highly composite number divisible by n.at n=18A022404
• Least number m such that integer part of sigma(m)/phi(m) equals n.at n=29A070033
• Least highly composite number having n distinct prime factors.at n=7A086332
• Numbers j where sigma_k(j) increases to a record for all real values of k.at n=33A095849
• Least number k such that the number of divisors of k which are < log(k) equals n.at n=20A096001
• 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=18A135060
• 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=19A135060
• 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=20A135060
• 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=21A135060
• Numbers that set records for the number by which they must be multiplied to double the number of divisors.at n=14A138570
• 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=21A139315
• Numbers n such that n, 2n, 3n are all highly composite numbers.at n=22A143770
• Superabundant numbers (A004394) that are not colossally abundant (A004490).at n=32A189228
• Where records occur in A129308 and also in A195155.at n=34A195307
• m such that the integer part of sigma(m)/phi(m) is not attained by any integer less than m.at n=29A216920
• Numbers k such that sigma(k) >= sigma(k-2) + sigma(k-1) + sigma(k+1) + sigma(k+2).at n=12A226589
• Triangle T(n,k): the coefficient [x^(n-k)] of the polynomial 2^n*n!*L(n,3/2,x), where L is the generalized Laguerre Polynomial in the Abramowitz-Stegun normalization.at n=42A229789
• Number of 2n-length strings of balanced parentheses of exactly 8 different types that are introduced in ascending order.at n=3A258396
• a(n) = the smallest number k such that sigma(k) / phi(k) >= n.at n=29A291185
• Largely composite numbers (A067128) with a unique number of divisors.at n=20A308531