129600
domain: N
Appears in sequences
- Order of (usually) simple Chevalley group D_n (9).at n=1A003840
- Order of (usually) simple Chevalley group D_2(q), q = prime power.at n=6A003848
- Highly powerful numbers: numbers with record value of the product of the exponents in prime factorization (A005361).at n=26A005934
- a(n) = (10*n)^2.at n=36A017270
- a(n) = (11*n + 8)^2.at n=32A017486
- a(n) = (12*n)^2.at n=30A017522
- Numbers of form 6^i*10^j with i, j >= 0.at n=23A025629
- Squares and omitting some digit gives another number in this list.at n=30A034378
- Sets record for f(n) = |{(a,b):a*b=n and a|b}|. Also squares of highly composite numbers A002182.at n=12A046952
- Least number whose number of divisors is A007304(n) (the n-th number that is the product of 3 distinct primes).at n=6A061299
- Squares in which removing a suitably chosen digit yields another square and this process can be continued until the digits are exhausted.at n=29A062387
- Numbers m such that A062401(m) = phi(sigma(m)) is increasing to a record value, i.e., A062401(m) represents a new peak, so that A062401(m) > A062401(k) for all k < m.at n=41A065391
- Numbers n such that the square root of n is an integer and a multiple of the sum of the digits of n.at n=35A067521
- Numbers k such that the numerator of Sum_{d|k} 1/d > 3*k.at n=12A069096
- Numbers k such that Sum_{d|k} d/core(d) > 2*k, where core(d) is the squarefree part of d.at n=28A069266
- Squares such that the sum of two neighboring term is also a square.at n=13A072471
- Squares k such that k + pi(k) is a prime.at n=35A073946
- Least m with n*(n+1)/2 divisors.at n=13A081620
- a(n) = (2*n+1) * (2*n)! / (sqrt(4*(n+1)*Product_{k=1..2*n+1} lcm(k, 2*n+2-k))).at n=12A082292
- a(n) = 3*a(n-1) + 3*a(n-3) + a(n-4).at n=10A089931