Number of the day: 94536

Properties of the number 94536:

94536 = 2³ × 3² × 13 × 101 is the 85419^th composite number and is not squarefree.
94536 has 4 distinct prime factors, 48 divisors, 15 antidivisors and 28800 totatives.
94536 has a triangular digit product 3240 in base 10.
94536 is the difference of 2 nonnegative squares in 12 ways.
94536 is the sum of 2 positive triangular numbers.
94536 is the difference of 2 positive pentagonal numbers in 3 ways.
94536 = 90² + 294² = 30² + 306² is the sum of 2 positive squares in 2 ways.
94536 = 16² + 74² + 298² is the sum of 3 positive squares.
94536² = 52920² + 78336² = 36360² + 87264² = 18360² + 92736² = 18720² + 92664² is the sum of 2 positive squares in 4 ways.
94536² is the sum of 3 positive squares.
94536 is a proper divisor of 1009⁴ - 1.
94536 = '9453' + '6' is the concatenation of 2 triangular numbers.
94536 is palindromic in (at least) the following bases: -57, and -95.
94536 in base 56 = U88 and consists of only the digits '8' and 'U'.

The number 94536 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A012698: E.g.f.: sin(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...
A012704: arcsinh(arctanh(x)*log(x+1)) = 2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...
A187277: Let S denote the palindromes in the language {0,1,2,...,n-1}*; a(n) = number of words of length 4 in the language SS.
A192770: Numbers n such that n^2 + 1 is divisible by precisely four distinct primes where the sum of the largest and the smallest is equal to the sum of the other two.
A195674: Numbers that are formed using their own digits and addition and seventh power operators.
A199924: Numbers n such that the sum of the largest and the smallest prime divisor of n^2 + 1 equals the sum of the other distinct prime divisors.
A215950: Numbers n > 1 such that the sum of the distinct prime divisors of n^2 + 1 that are congruent to 1 mod 8 equals the sum of the distinct prime divisors congruent to 5 mod 8.