Thursday, March 15, 2018

Number of the day: 940270

Properties of the number 940270:

940270 = 2 × 5 × 17 × 5531 is the 866063th composite number and is squarefree.
940270 has 4 distinct prime factors, 16 divisors, 19 antidivisors and 353920 totatives.
940270 has a semiprime digit sum 22 in base 10.
940270 is the difference of 2 positive pentagonal numbers in 4 ways.
940270 = 1102 + 1112 + 9572 is the sum of 3 positive squares.
9402702 = 4424802 + 8296502 = 1438062 + 9292082 = 3982322 + 8517742 = 5641622 + 7522162 is the sum of 2 positive squares in 4 ways.
9402702 is the sum of 3 positive squares.
940270 is a proper divisor of 23910 - 1.
940270 = '9402' + '70' is the concatenation of 2 sphenic numbers.

The number 940270 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A203889: Number of (n+1)X2 0..4 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing
A203893: Number of (n+1)X6 0..4 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing
A203896: T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing

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