Number of the day: 3930

Gerolamo Cardano was born on this day 516 years ago.

Properties of the number 3930:

3930 = 2 × 3 × 5 × 131 is the 3384^th composite number and is squarefree.
3930 has 4 distinct prime factors, 16 divisors, 11 antidivisors and 1040 totatives.
3930 has an emirpimes digit sum 15 in base 10.
3930 has a triangular digit sum 15 in base 10.
3930 = 26² + … + 30² is the sum of at least 2 consecutive positive squares in 1 way.
3930 is the difference of 2 positive pentagonal numbers in 1 way.
3930 = 7² + 20² + 59² is the sum of 3 positive squares.
3930² = 2358² + 3144² is the sum of 2 positive squares in 1 way.
3930² is the sum of 3 positive squares.
3930 is a proper divisor of 1049² - 1.
3930 is palindromic in (at least) the following bases: 33, and -20.
3930 in base 19 = agg and consists of only the digits 'a' and 'g'.
3930 in base 32 = 3qq and consists of only the digits '3' and 'q'.
3930 in base 33 = 3k3 and consists of only the digits '3' and 'k'.
3930 in base 62 = 11O and consists of only the digits '1' and 'O'.

The number 3930 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A027578: Sums of five consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2.
A075386: Sum of terms of n-th group in A075383.
A076409: Sum of the quadratic residues of prime(n).
A113744: Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 7 multiples of n-1, n-2, ..., 1, for n>=1.
A138989: a(n) = Frobenius number for 3 successive primes = F[p(n),p(n+1),p(n+2)].
A211978: Total number of parts in all partitions of n plus the sum of largest parts of all partitions of n.
A251829: T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6
A256874: Numbers divisible by prime(d) for each digit d in their base 4 representation, none of which may be zero.
A282035: Sum of quadratic residues of (n-th prime == 3 mod 4).
A284949: Triangle read by rows: T(n,k) = number of reversible string structures of length n using exactly k different symbols.