Sunday, May 20, 2018

Number of the day: 71830

Properties of the number 71830:

71830 = 2 × 5 × 11 × 653 is the 64721th composite number and is squarefree.
71830 has 4 distinct prime factors, 16 divisors, 15 antidivisors and 26080 totatives.
71830 has a prime digit sum 19 in base 10.
71830 = (167 × 168)/2 + … + (171 × 172)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
71830 is the sum of 2 positive triangular numbers.
71830 is the difference of 2 positive pentagonal numbers in 3 ways.
71830 = 102 + 212 + 2672 is the sum of 3 positive squares.
718302 = 430982 + 574642 = 100322 + 711262 = 295462 + 654722 = 346502 + 629202 is the sum of 2 positive squares in 4 ways.
718302 is the sum of 3 positive squares.
71830 is a proper divisor of 14920 - 1.
71830 is palindromic in (at least) base 84.

The number 71830 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A022314: a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0, a(1) = 9.

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