Number of the day: 5178

Properties of the number 5178:

5178 is the 1302^th totient number.
5178 = 2 × 3 × 863 is a sphenic number and squarefree.
5178 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 1724 totatives.
5178 has a semiprime digit sum 21 in base 10.
5178 has a Fibonacci digit sum 21 in base 10.
5178 has a triangular digit sum 21 in base 10.
5178 is the difference of 2 positive pentagonal numbers in 2 ways.
5178 = 4² + 11² + 71² is the sum of 3 positive squares.
5178² is the sum of 3 positive squares.
5178 is a proper divisor of 19⁴³¹ - 1.
5178 is palindromic in (at least) the following bases: -21, and -45.
5178 in base 20 = cii and consists of only the digits 'c' and 'i'.
5178 in base 41 = 33C and consists of only the digits '3' and 'C'.

The number 5178 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A187206: a(n) = 6*(24*n - 1).
A191455: Dispersion of (floor(n*e)), by antidiagonals.
A218510: Number of partitions of n in which any two parts differ by at most 8.
A227364: a(n) = 1 + 2*3 + 4*5*6 + 7*8*9*10 + ... + ...*n(see Example lines).
A252210: T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 1 3 4 6 or 7
A257211: Numbers n such that the decimal expansions of both n and n^2 have 1 as smallest digit and 8 as largest digit.
A268639: T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally or vertically adjacent neighbor totalling two exactly once.
A308872: Sum of the second largest parts in the partitions of n into 6 parts.
A308990: Sum of the smallest parts in the partitions of n into 8 parts.
A309619: a(n) = Sum_{k=0..floor(n/2)} k! * (n - 2*k)!.