Number of the day: 9010

Properties of the number 9010:

9010 = 2 × 5 × 17 × 53 is the 7890^th composite number and is squarefree.
9010 has 4 distinct prime factors, 16 divisors, 11 antidivisors and 3328 totatives.
9010 has a semiprime digit sum 10 in base 10.
9010 has a triangular digit sum 10 in base 10.
9010 = 1³ + 16³ + 17³ is the sum of 3 positive cubes in 1 way.
9010 = (76 × 77)/2 + … + (78 × 79)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
9010 is the difference of 2 positive pentagonal numbers in 2 ways.
9010 = 63² + 71² = 27² + 91² = 33² + 89² = 19² + 93² is the sum of 2 positive squares in 4 ways.
9010 = 33² + 39² + 80² is the sum of 3 positive squares.
9010² = 4510² + 7800² = 4240² + 7950² = 600² + 8990² = 5874² + 6832² = 1378² + 8904² = 3534² + 8288² = 4914² + 7552² = 3816² + 8162² = 1072² + 8946² = 5406² + 7208² = 3264² + 8398² = 782² + 8976² = 4760² + 7650² is the sum of 2 positive squares in 13 ways.
9010² is the sum of 3 positive squares.
9010 is a proper divisor of 1801² - 1.
9010 is palindromic in (at least) the following bases: 4, 16, 23, 30, 77, 91, -4, -13, -23, -26, -30, and -99.
9010 in base 13 = 4141 and consists of only the digits '1' and '4'.
9010 in base 16 = 2332 and consists of only the digits '2' and '3'.
9010 in base 23 = h0h and consists of only the digits '0' and 'h'.
9010 in base 24 = ffa and consists of only the digits 'a' and 'f'.
9010 in base 25 = eaa and consists of only the digits 'a' and 'e'.
9010 in base 29 = akk and consists of only the digits 'a' and 'k'.
9010 in base 30 = a0a and consists of only the digits '0' and 'a'.

The number 9010 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A032816: Numbers whose set of base 16 digits is {2,3}.
A051870: 18-gonal (or octadecagonal) numbers: a(n) = n*(8*n-7).
A068860: a(1) = 1; a(n+1) is the smallest number > a(n) which differs from it at every digit.
A116295: Numbers n such that n times n+2 gives the concatenation of two numbers m and m+1.
A116555: Anti-Harborth alternating chaotic sequence, 6th type.
A154379: a(n) = 250*n + 10.
A162254: a(n) = (2*n^3 + 5*n^2 + n)/2.
A202962: T(n,k)=Number of arrays of n+2 integers in -k..k with sum zero and adjacent elements differing in absolute value
A212105: Number of (w,x,y,z) with all terms in {1,...,n} and w > harmonic mean of {x,y,z}.
A281877: Numbers that are a primitive sum of two squares in more than 2 ways.