Number of the day: 2470

Properties of the number 2470:

2470 = 2 × 5 × 13 × 19 is the 2104^th composite number and is squarefree.
2470 has 4 distinct prime factors, 16 divisors, 17 antidivisors and 864 totatives.
2470 has an emirp digit sum 13 in base 10.
2470 has a Fibonacci digit sum 13 in base 10.
2470 = 1² + … + 19² is the sum of at least 2 consecutive positive squares in 1 way.
2470 = (14 × 15)/2 + … + (25 × 26)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
2470 is the sum of 2 positive triangular numbers.
2470 is the difference of 2 positive pentagonal numbers in 4 ways.
2470 = 15² + 33² + 34² is the sum of 3 positive squares.
2470² = 1482² + 1976² = 608² + 2394² = 1254² + 2128² = 950² + 2280² is the sum of 2 positive squares in 4 ways.
2470² is the sum of 3 positive squares.
2470 is a proper divisor of 571² - 1.
2470 is palindromic in (at least) the following bases: 4, 15, 64, 94, and -22.
2470 in base 3 = 10101111 and consists of only the digits '0' and '1'.
2470 in base 4 = 212212 and consists of only the digits '1' and '2'.
2470 in base 8 = 4646 and consists of only the digits '4' and '6'.
2470 in base 9 = 3344 and consists of only the digits '3' and '4'.
2470 in base 15 = aea and consists of only the digits 'a' and 'e'.
2470 in base 49 = 11K and consists of only the digits '1' and 'K'.

The number 2470 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000330: Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.
A005598: a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).
A006918: a(n) = binomial(n+3, 3)/4, n odd; n(n+2)(n+4)/24, n even.
A020330: Numbers whose base 2 representation is the juxtaposition of two identical strings.
A035928: Numbers n such that BCR(n) = n, where BCR = binary-complement-and-reverse = take one's complement then reverse bit order.
A062744: Ninth column of triangle A062993 (without leading zeros). A Pfaff-Fuss or 10-Raney sequence.
A100157: Structured rhombic dodecahedral numbers (vertex structure 9).
A191724: Dispersion of A047218, (numbers >1 and congruent to 0 or 3 mod 5), by antidiagonals.
A249551: Numbers n such that there are precisely 8 groups of order n.
A299291: Coordination sequence for "ubt" 3D uniform tiling.