Thursday, September 13, 2018

Number of the day: 66962

Properties of the number 66962:

66962 = 2 × 7 × 4783 is a sphenic number and squarefree.
66962 has 3 distinct prime factors, 8 divisors, 15 antidivisors and 28692 totatives.
66962 has a prime digit sum 29 in base 10.
Reversing the decimal digits of 66962 results in a sphenic number.
66962 is the sum of 2 positive triangular numbers.
66962 is the difference of 2 positive pentagonal pyramidal numbers in 1 way.
66962 = 122 + 532 + 2532 is the sum of 3 positive squares.
669622 is the sum of 3 positive squares.
66962 is a proper divisor of 673797 - 1.
66962 = '669' + '62' is the concatenation of 2 semiprime numbers.
66962 = '66' + '962' is the concatenation of 2 sphenic numbers.
66962 is palindromic in (at least) the following bases: 53, -46, and -49.
66962 in base 53 = NiN and consists of only the digits 'N' and 'i'.

The number 66962 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A055278: Number of rooted trees with n nodes and 3 leaves.
A269232: a(n) = (n + 1)*(6*n^2 + 15*n + 4)/2.

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