Number of the day: 5800

Properties of the number 5800:

5800 = 2³ × 5² × 29 is the 5039^th composite number and is not squarefree.
5800 has 3 distinct prime factors, 24 divisors, 11 antidivisors and 2240 totatives.
5800 has an emirp digit sum 13 in base 10.
5800 has a Fibonacci digit sum 13 in base 10.
5800 = 1451² - 1449² = 727² - 723² = 295² - 285² = 155² - 135² = 83² - 33² = 79² - 21² is the difference of 2 nonnegative squares in 6 ways.
5800 is the sum of 2 positive triangular numbers.
5800 is the difference of 2 positive pentagonal numbers in 3 ways.
5800 = 30² + 70² = 38² + 66² = 18² + 74² is the sum of 2 positive squares in 3 ways.
5800 = 30² + 42² + 56² is the sum of 3 positive squares.
5800² = 3480² + 4640² = 960² + 5720² = 680² + 5760² = 4000² + 4200² = 2912² + 5016² = 1624² + 5568² = 2664² + 5152² is the sum of 2 positive squares in 7 ways.
5800² is the sum of 3 positive squares.
5800 is a divisor of 349² - 1.
5800 is palindromic in (at least) the following bases: 36, 99, and -42.
5800 in base 3 = 21221211 and consists of only the digits '1' and '2'.
5800 in base 12 = 3434 and consists of only the digits '3' and '4'.
5800 in base 17 = 1313 and consists of only the digits '1' and '3'.
5800 in base 35 = 4pp and consists of only the digits '4' and 'p'.
5800 in base 36 = 4h4 and consists of only the digits '4' and 'h'.

The number 5800 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A026054: dot_product(n,n-1,...2,1).(3,4,...,n,1,2).
A060488: Number of 4-block ordered tricoverings of an unlabeled n-set.
A082227: Main diagonal of array A082224.
A138992: a(n) = Frobenius number for 6 successive primes = F[p(n),p(n+1),p(n+2),p(n+3),p(n+4),p(n+5)].
A164770: Numbers n with property that average digit of n^2 is 2.
A184071: T(n,k)=Number of (n+1)X(k+1) binary arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one
A211971: Column 0 of square array A211970 (in which column 1 is A000041).
A216046: Expansion of (chi(-x) / chi^3(-x^3))^2 in powers of x where chi() is a Ramanujan theta function.
A241343: Number of partitions p of n such that neither floor(mean(p)) nor ceiling(mean(p)) is a part.
A241515: Number of partitions of n such that (number parts having multiplicity 1) is a part or (number of parts > 1) is a part.