57153600
domain: N
Appears in sequences
- a(n) = n!*(n-1)!/2^(n-1).at n=8A006472
- Triangle of coefficients from fractional iteration of e^x - 1.at n=35A008826
- Sets record for f(n) = |{(a,b):a*b=n and a|b}|. Also squares of highly composite numbers A002182.at n=19A046952
- Smallest number with exactly n^2 divisors.at n=20A061707
- Product of nonzero digits of A066551(n).at n=10A066583
- Least common multiple (LCM) of denominators of the rows of the triangle of rationals A119935/A119932.at n=8A119936
- Even refactorable numbers k such that the number r of odd divisors is odd, the number s of even divisors is even, both r and s are divisors of k and k is the first number for which the triple (r,s,t) occurs, where t is the number of divisors of k.at n=29A120359
- Triangle of coefficients of (x+1)*(x+3)*(x+6)*...*(x+n(n+1)/2).at n=44A128813
- Square numbers with more divisors than any smaller square number.at n=18A136404
- Duplicate of A136404.at n=18A176471
- Vandermonde determinant of the first n triangular numbers.at n=5A203309
- Numerator of the harmonic mean of the first n squares.at n=8A246498
- Number of integers k^5 that divide 1!*2!*3!*...*n!.at n=26A248823
- a(n) is the smallest number whose number of divisors is the n-th odd square.at n=10A300357
- a(n) is the least k > 0 such that A303822(k) = 3^n.at n=24A303823
- Exponential infinitary highly composite numbers: where the number of exponential infinitary divisors (A307848) increases to record.at n=6A306736
- Exponential unitary highly composite numbers: where the number of exponential unitary divisors (A278908) increases to a record.at n=6A307845
- Exponential highly composite numbers: where the number of exponential divisors of n (A049419) increases to a record.at n=15A318278
- Triangle read by rows: T(n,k) is the number of balanced reduced multisystems of weight n with maximum depth and atoms colored using exactly k colors.at n=44A330778
- Coreful 4-abundant numbers: numbers k such that csigma(k) > 4*k, where csigma(k) is the sum of the coreful divisors of k (A057723).at n=17A340110