648000

Appears in sequences

• Highly powerful numbers: numbers with record value of the product of the exponents in prime factorization (A005361).at n=33A005934
• Denominators of the probability that the convex hull of n+2 randomly chosen points in the unit ball B^n has n+1 vertices (with factor of Pi^n dropped for n even).at n=3A051051
• Denominator(sum(i=1,n,1/i^4))/denominator(sum(i=1,n,1/i)).at n=5A069045
• Array used for numerators of g.f.s for column sequences of array A078741 ((3,3)-Stirling2).at n=9A089517
• Array used for numerators of g.f.s for column sequences of array A090216 ((5,5)-Stirling2).at n=3A090222
• a(n) = n * (n+1)^2 * (n+2)^3.at n=8A101213
• Triangle, read by rows, T(n, k) = (-1)^n*(n!/k!)^2*binomial(n-1, k-1).at n=16A169656
• T(n,k) = Sum of multinomial(n; n_1,n_2,...,n_k)^2, where the sum extends over all compositions (n_1,n_2,...,n_k) of n into exactly k nonnegative parts.at n=19A192722
• LB numbers: positive integers of the form m = a*10^k+b (with a > 0 and b < 10^k) satisfying two properties: 1) the set of prime factors of m is the union of the sets of prime factors of a and b; and 2) A001222(m) = A001222(a) + A001222(b).at n=27A267856
• Average of amicable pairs (x,y), ordered by the smaller value x given in A002025.at n=31A275315
• Average of amicable pairs (x,y), ordered by the smaller value x given in A002025.at n=34A275315
• Average of amicable pairs (x,y), ordered by the sum x+y given in A259953.at n=31A275316
• Average of amicable pairs (x,y), ordered by the sum x+y given in A259953.at n=32A275316
• Numbers n such that sigma(n)/usigma(n) > sigma(m)/usigma(m) for all m < n, where sigma(n) is the sum of divisors of n (A000203) and usigma(n) is the sum of unitary divisors of n (A034448).at n=31A285906
• Intersection of A001694 and A195069.at n=32A316499
• Numbers with a record number of distinct values of the Euler totient function applied to their divisors (A319696).at n=40A328858
• a(n) = Product_{d|n} lcm(sigma(d), pod(d)) where sigma(k) is the sum of divisors of k (A000203) and pod(k) is the product of divisors of k (A007955).at n=14A334809
• Numbers k such that k and the next two numbers after k with the same prime signature as k also have the same set of distinct prime divisors as k.at n=13A340303
• Powerful superabundant numbers: numbers m such that psigma(m)/m > psigma(k)/k for all k < m, where psigma(k) is the sum of powerful divisors of k (A183097).at n=23A349111
• Array read by antidiagonals: T(n,k) = n^3*k^3*(n+k)^2, n>=0, k>=0.at n=49A358292