7207200

Appears in sequences

• Superabundant [or super-abundant] numbers: n such that sigma(n)/n > sigma(m)/m for all m < n, sigma(n) being A000203(n), the sum of the divisors of n.at n=35A004394
• a(n) is the minimal number of binary order n which has maximal number of divisors in this interval.at n=23A036484
• Largest number having binary order n (A029837) and of which the number of divisors is maximal in that range of g(k) = n.at n=23A036493
• a(n) = n! * Catalan(n+1).at n=7A065866
• Least k such that n*prime(k) <= k*tau(k).at n=22A073066
• Least k such that n*prime(k) <= k*tau(k).at n=23A073066
• Numbers k such that sigma(k)/k >= sigma(m)/m for all m <= k.at n=36A077006
• For n > 0, 0 <= k <= n^2, T(n,k) is the number of rotationally and reflectively distinct n X n arrays that contain the numbers 1 through k once each and n^2-k zeros.at n=24A087074
• Numbers k such that, for all m < k, d_i(k) <= d_i(m) for i=1 to Min(d(k),d(m)), where d_i(k) denotes the i-th smallest divisor of k.at n=26A094783
• 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=29A095848
• Numbers j where sigma_k(j) increases to a record for all real values of k.at n=27A095849
• Minimal numbers having in canonical prime factorization at least one factor p^e such that e+1 is not prime, p prime and e>0.at n=26A099317
• Terms in A005179 where prime signature differs from that of corresponding term in A038547.at n=28A122813
• a(1) = 1; for all n >= 2, we choose a(n) to be as small as possible so that for all i = 1, ..., n, the sequence of the i-th divisors of a(1), a(2), ..., a(n) is nonincreasing.at n=29A136339
• a(n) is the smallest number with same number of divisors as n*a(n-1).at n=10A138113
• Numbers n such that n, 2n, 3n are all highly composite numbers.at n=15A143770
• Highly composite numbers whose digit sum is 18.at n=17A145313
• Superabundant numbers (A004394) that are highly composite (A002182).at n=35A166981
• Least number k such that sigma(k) >= 2^n.at n=24A172516
• Numbers n such that both n and n/2 are highly composite (A002182).at n=27A181809