Number of the day: 16128

Properties of the number 16128:

16128 = 2⁸ × 3² × 7 is the 14250^th composite number and is not squarefree.
16128 has 3 distinct prime factors, 54 divisors, 7 antidivisors and 4608 totatives.
16128 = 2³ + 19³ + 21³ is the sum of 3 positive cubes in 1 way.
16128 is the difference of 2 nonnegative squares in 21 ways.
16128 is the sum of 2 positive triangular numbers.
16128 is the difference of 2 positive pentagonal numbers in 2 ways.
16128 is not the sum of 3 positive squares.
16128² is the sum of 3 positive squares.
16128 is a proper divisor of 127² - 1.
16128 is palindromic in (at least) the following bases: 47, 58, -30, -49, and -75.
16128 in base 4 = 3330000 and consists of only the digits '0' and '3'.
16128 in base 46 = 7SS and consists of only the digits '7' and 'S'.
16128 in base 47 = 7E7 and consists of only the digits '7' and 'E'.
16128 in base 48 = 700 and consists of only the digits '0' and '7'.
16128 in base 57 = 4ss and consists of only the digits '4' and 's'.
16128 in base 58 = 4k4 and consists of only the digits '4' and 'k'.

The number 16128 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000056: Order of the group SL(2,Z_n).
A069272: 11-almost primes (generalization of semiprimes).
A079262: Octanacci numbers: a(0)=a(1)=...=a(6)=0, a(7)=1; for n >= 8, a(n) = Sum_{i=1..8} a(n-i).
A084920: a(n) = (prime(n)-1)*(prime(n)+1).
A109906: A triangle of coefficients based on A000045 and the Pascal's triangle: t(n,m)=Fibonacci[(n - m + 1)]*Fibonacci[(m + 1)]*Binomial[n, m].
A173121: a(n) = sinh(2*arccosh(n))^2 = 4*n^2*(n^2-1).
A195092: Numbers n such that (number of prime factors of n counted with multiplicity) less (number of distinct prime factors of n) = 8.
A227499: Number of the Lipschitz quaternions in a reduced system modulo n.
A248882: Expansion of Product_{k>=1} (1+x^k)^(k^3).
A299950: Coefficients in expansion of (E_4^3/E_6^2)^(1/18).