Friday, October 28, 2016

Number of the day: 104278

Properties of the number 104278:

104278 = 2 × 17 × 3067 is a sphenic number and squarefree.
104278 has 3 distinct prime factors, 8 divisors, 13 antidivisors and 49056 totatives.
104278 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 104278 results in a semiprime.
104278 is the sum of 2 positive triangular numbers.
104278 is the difference of 2 positive pentagonal numbers in 2 ways.
104278 = 92 + 342 + 3212 is the sum of 3 positive squares.
1042782 = 490722 + 920102 is the sum of 2 positive squares in 1 way.
1042782 is the sum of 3 positive squares.
104278 is a divisor of 823112 - 1.
104278 = '10' + '4278' is the concatenation of 2 triangular numbers.
104278 is palindromic in (at least) base -61.

The number 104278 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A206138: G.f.: A(x) = Sum_{n>=0} x^(n*(n+1)/2) / Product_{k=1..n} (1-x^k)^k.

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