Number of the day: 7180

Properties of the number 7180:

7180 = 2² × 5 × 359 is the 6262^th composite number and is not squarefree.
7180 has 3 distinct prime factors, 12 divisors, 7 antidivisors and 2864 totatives.
7180 = 1796² - 1794² = 364² - 354² is the difference of 2 nonnegative squares in 2 ways.
7180 is the difference of 2 positive pentagonal numbers in 2 ways.
7180 = 14² + 30² + 78² is the sum of 3 positive squares.
7180² = 4308² + 5744² is the sum of 2 positive squares in 1 way.
7180² is the sum of 3 positive squares.
7180 is a proper divisor of 719² - 1.
7180 is palindromic in (at least) the following bases: 34, 35, 39, -41, -46, and -74.
7180 in base 23 = dd4 and consists of only the digits '4' and 'd'.
7180 in base 33 = 6jj and consists of only the digits '6' and 'j'.
7180 in base 34 = 676 and consists of only the digits '6' and '7'.
7180 in base 35 = 5u5 and consists of only the digits '5' and 'u'.
7180 in base 38 = 4aa and consists of only the digits '4' and 'a'.
7180 in base 39 = 4S4 and consists of only the digits '4' and 'S'.

The number 7180 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000233: Generalized class numbers.
A022266: a(n) = n*(9*n - 1)/2.
A058625: McKay-Thompson series of class 30d for Monster.
A060093: Number of 5-block ordered bicoverings of an unlabeled n-set.
A105282: Positive integers n such that n^20 + 1 is semiprime (A001358).
A130610: Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+359)^2 = y^2.
A134907: a(n) = floor(n*exp(-tan(n))).
A154361: a(n) = 250*n - 70.
A262367: Fixed points of permutations A262323 and A262255.
A285799: Number of partitions of n into parts with an odd number of distinct prime divisors.