Sunday, March 25, 2018

Number of the day: 40514

Properties of the number 40514:

40514 = 2 × 47 × 431 is a sphenic number and squarefree.
40514 has 3 distinct prime factors, 8 divisors, 15 antidivisors and 19780 totatives.
40514 has a semiprime digit sum 14 in base 10.
40514 is the difference of 2 positive pentagonal numbers in 1 way.
40514 = 72 + 82 + 2012 is the sum of 3 positive squares.
405142 is the sum of 3 positive squares.
40514 is a proper divisor of 140910 - 1.
40514 is palindromic in (at least) the following bases: 61, 82, and -54.
40514 in base 34 = 111k and consists of only the digits '1' and 'k'.
40514 in base 53 = EMM and consists of only the digits 'E' and 'M'.
40514 in base 61 = AsA and consists of only the digits 'A' and 's'.

The number 40514 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A067797: Numbers n such that phi(n)+phi(n+1) = n+2.
A111759: Number of bipartite outerplanar graphs on n unlabeled nodes.
A226648: Numbers n such that sum_{k=1..n} sigma(k) is a triangular number, where sigma(k) = sum of divisors of k (A000203).
A239329: The number of NE partitions of n (see Comments).
A252376: Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7

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