Number of the day: 4270

Properties of the number 4270:

4270 = 2 × 5 × 7 × 61 is the 3684^th composite number and is squarefree.
4270 has 4 distinct prime factors, 16 divisors, 17 antidivisors and 1440 totatives.
4270 has an emirp digit sum 13 in base 10.
4270 has a Fibonacci digit sum 13 in base 10.
4270 is the difference of 2 positive pentagonal numbers in 4 ways.
4270 = 11² + 30² + 57² is the sum of 3 positive squares.
4270² = 1904² + 3822² = 770² + 4200² = 2898² + 3136² = 2562² + 3416² is the sum of 2 positive squares in 4 ways.
4270² is the sum of 3 positive squares.
4270 is a proper divisor of 1709² - 1.
4270 = '42' + '70' is the concatenation of 2 sphenic numbers.
4270 is palindromic in (at least) the following bases: 20, 26, 44, and 69.
4270 in base 11 = 3232 and consists of only the digits '2' and '3'.
4270 in base 20 = ada and consists of only the digits 'a' and 'd'.
4270 in base 25 = 6kk and consists of only the digits '6' and 'k'.
4270 in base 26 = 686 and consists of only the digits '6' and '8'.
4270 in base 43 = 2DD and consists of only the digits '2' and 'D'.
4270 in base 44 = 292 and consists of only the digits '2' and '9'.

The number 4270 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A006036: Primitive pseudoperfect numbers.
A022264: a(n) = n*(7*n - 1)/2.
A050036: a(n) = a(n-1)+a(m), where m=2n-3-2^(p+1) and 2^p<n-1<=2^(p+1), for n >= 4.
A050052: a(n) = a(n-1)+a(m), where m=2n-3-2^(p+1) and 2^p<n-1<=2^(p+1), for n >= 4.
A050068: a(n) = a(n-1)+a(m), where m=2n-3-2^(p+1) and 2^p<n-1<=2^(p+1), for n >= 4.
A079641: Matrix product of Stirling2-triangle A008277(n,k) and unsigned Stirling1-triangle |A008275(n,k)|.
A104494: Positive integers n such that n^17 + 1 is semiprime (A001358).
A135036: Sums of the products of n consecutive pairs of numbers.
A141391: a(n) is the smallest unused number such that the RMS (Root Mean Square) of a(1) through a(n) is an integer.
A212964: Number of (w,x,y) with all terms in {0,...,n} and |w-x| < |x-y| < |y-w|.