Number of the day: 11292

Properties of the number 11292:

11292 = 2² × 3 × 941 is the 9926^th composite number and is not squarefree.
11292 has 3 distinct prime factors, 12 divisors, 7 antidivisors and 3760 totatives.
11292 has an emirpimes digit sum 15 in base 10.
11292 has a triangular digit sum 15 in base 10.
11292 has a triangular digit product 36 in base 10.
11292 = 34² + … + 41² is the sum of at least 2 consecutive positive squares in 1 way.
11292 = 2824² - 2822² = 944² - 938² is the difference of 2 nonnegative squares in 2 ways.
11292 is the sum of 2 positive triangular numbers.
11292 is the difference of 2 positive pentagonal numbers in 1 way.
11292 is not the sum of 3 positive squares.
11292² = 6960² + 8892² is the sum of 2 positive squares in 1 way.
11292² is the sum of 3 positive squares.
11292 is a proper divisor of 97⁴ - 1.
11292 = '1129' + '2' is the concatenation of 2 prime numbers.
11292 is palindromic in (at least) the following bases: 30, -23, and -71.
11292 in base 30 = cgc and consists of only the digits 'c' and 'g'.
11292 in base 47 = 55C and consists of only the digits '5' and 'C'.

The number 11292 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A006550: n+8*C(n,2)+30*C(n,3)+62*C(n,4)+75*C(n,5)+30*C(n,6).
A034997: Number of Generalized Retarded Functions in Quantum Field Theory.
A101713: Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) - 27 for n > 0.
A137200: Number of ways to tile an n X 1 strip with 1 X 1 squares and 2 X 1 dominoes with the restriction that no three consecutive tiles are of the same type.
A212584: Nonnegative walks of length n on the x-axis starting at the origin using steps {1,-1} and visiting no point more than twice.
A213754: Principal diagonal of the convolution array A213753.
A227333: T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having two adjacent 1s and two adjacent 0s, with rows and columns of the latter in lexicographically nondecreasing order
A271580: Magic sums of 4 X 4 magic squares composed of squares.
A289191: Number of polygonal tiles with n sides with two exits per side and n edges connecting pairs of exits, with no edges between exits on the same side and non-isomorphic under rotational symmetry.
A289343: a(n) = A289191(prime(n)).