Friday, April 14, 2017

Number of the day: 85106

Christiaan Huygens was born on this day 388 years ago.

Properties of the number 85106:

85106 = 2 × 7 × 6079 is a sphenic number and squarefree.
85106 has 3 distinct prime factors, 8 divisors, 5 antidivisors and 36468 totatives.
85106 has an oblong digit sum 20 in base 10.
Reversing the decimal digits of 85106 results in a sphenic number.
85106 is the sum of 2 positive triangular numbers.
85106 = 202 + 592 + 2852 is the sum of 3 positive squares.
851062 is the sum of 3 positive squares.
85106 is a divisor of 15536 - 1.
85106 = '85' + '106' is the concatenation of 2 semiprime numbers.
85106 is palindromic in (at least) the following bases: 88, and -65.

The number 85106 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A008488: Expansion of (1-x^6) / (1-x)^6.
A120478: Binomial(n+6,5)-binomial(n,5).
A155326: Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,0 3,1 4,0 5,1 polyhexes in any orientation on a planar nXnXn triangular grid.

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