Number of the day: 9686

Sofia Kovalevskaya was born on this day 169 years ago.

Properties of the number 9686:

9686 = 2 × 29 × 167 is a sphenic number and squarefree.
9686 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 4648 totatives.
9686 has a prime digit sum 29 in base 10.
Reversing the decimal digits of 9686 results in a prime.
9686 is the difference of 2 positive pentagonal numbers in 1 way.
9686 = 9² + 14² + 97² is the sum of 3 positive squares.
9686² = 6680² + 7014² is the sum of 2 positive squares in 1 way.
9686² is the sum of 3 positive squares.
9686 is a proper divisor of 1669¹⁴ - 1.
9686 is palindromic in (at least) the following bases: 4, 26, 40, 47, and -13.
9686 in base 26 = e8e and consists of only the digits '8' and 'e'.
9686 in base 39 = 6EE and consists of only the digits '6' and 'E'.
9686 in base 40 = 626 and consists of only the digits '2' and '6'.
9686 in base 46 = 4QQ and consists of only the digits '4' and 'Q'.
9686 in base 47 = 4I4 and consists of only the digits '4' and 'I'.

The number 9686 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A002838: Balancing weights on the integer line.
A076822: Number of partitions of the n-th triangular number involving only the numbers 1..n and with exactly n terms.
A115160: Numbers that are not the sum of two triangular numbers and a fourth power.
A188181: T(n,k)=Number of strictly increasing arrangements of n numbers in -(n+k-2)..(n+k-2) with sum zero
A198086: Number of isomorphism classes of nanocones with 5 pentagons and a symmetric boundary of length n.
A216635: T(n,k)=Number of nondecreasing arrays of n 0..n-1 integers with the sum of their k'th powers equal to sum(i^k,i=0..n-1)
A216645: T(n,k)=Number of nondecreasing arrays of n 1..n integers with the sum of their k powers equal to sum(i^k,i=1..n)
A234524: Numbers n such that A234519(n) = n.
A255684: Bernoulli number B_{n} has denominator 354.
A317160: T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.