Number of the day: 8110

Carl Gustav Jacob Jacobi was born on this day 212 years ago.

Properties of the number 8110:

8110 = 2 × 5 × 811 is a sphenic number and squarefree.
8110 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 3240 totatives.
8110 has a semiprime digit sum 10 in base 10.
8110 has a triangular digit sum 10 in base 10.
8110 is the sum of 2 positive triangular numbers.
8110 is the difference of 2 positive pentagonal numbers in 2 ways.
8110 = 10² + 21² + 87² is the sum of 3 positive squares.
8110² = 4866² + 6488² is the sum of 2 positive squares in 1 way.
8110² is the sum of 3 positive squares.
8110 is a divisor of 1621² - 1.
8110 is palindromic in (at least) the following bases: 42, and -17.
8110 in base 9 = 12111 and consists of only the digits '1' and '2'.
8110 in base 17 = 1b11 and consists of only the digits '1' and 'b'.
8110 in base 22 = gge and consists of only the digits 'e' and 'g'.
8110 in base 41 = 4XX and consists of only the digits '4' and 'X'.
8110 in base 42 = 4P4 and consists of only the digits '4' and 'P'.

The number 8110 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A070938: Harshad numbers which terminate in their digital sum.
A099834: Maximum number of different determinants that can be produced by permuting the elements of a 3 X 3 integer matrix with nonnegative entries <= n.
A101860: (3+n)*(2+33*n+n^2)/6.
A125527: Number of semiprimes <= 2^n.
A141208: a(n) = prime(prime(prime(n) - 1) - 1) - 1, where prime(n) = n-th prime.
A152728: a(n)+a(n+1)+a(n+2)=n^3.
A158271: 324n^2 + 2n.
A158492: 100n^2 + 10.
A206436: Total sum of even parts in the last section of the set of partitions of n.
A255764: Partial sums of A255743.