Number of the day: 2716

Properties of the number 2716:

2716 = 2² × 7 × 97 is the 2319^th composite number and is not squarefree.
2716 has 3 distinct prime factors, 12 divisors, 5 antidivisors and 1152 totatives.
2716 = 17³ - 13³ is the difference of 2 positive cubes in 1 way.
2716 = (15 × 16)/2 + … + (26 × 27)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
2716 = 680² - 678² = 104² - 90² is the difference of 2 nonnegative squares in 2 ways.
2716 is the sum of 2 positive triangular numbers.
2716 is the difference of 2 positive pentagonal numbers in 2 ways.
2716 is not the sum of 3 positive squares.
2716² = 1820² + 2016² is the sum of 2 positive squares in 1 way.
2716² is the sum of 3 positive squares.
2716 is a proper divisor of 1163² - 1.
2716 is palindromic in (at least) the following bases: 24, 96, -21, and -46.
2716 in base 15 = c11 and consists of only the digits '1' and 'c'.
2716 in base 24 = 4h4 and consists of only the digits '4' and 'h'.

The number 2716 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A002895: Domb numbers: number of 2n-step polygons on diamond lattice.
A007655: Standard deviation of A007654.
A063490: (2*n-1)*(7*n^2-7*n+6)/6.
A075232: Numbers n such that n^9 is an interprime = average of two successive primes.
A076454: Sum of numbers that can be written as t*n + u*(n+1) for nonnegative integers t,u in exactly one way.
A144138: Chebyshev polynomial of the second kind U(3,n).
A180281: Triangle read by rows: T(n,k) = number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to k.
A181061: a(n) is the smallest positive number such that the decimal digits of n*a(n) are all 0, 1 or 2.
A196636: T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 1,3,2,0,4 for x=0,1,2,3,4
A245397: A(n,k) is the sum of k-th powers of coefficients in full expansion of (z_1+z_2+...+z_n)^n; square array A(n,k), n>=0, k>=0, read by antidiagonals.