Number of the day: 6502

Properties of the number 6502:

6502 = 2 × 3251 is semiprime and squarefree.
6502 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 3250 totatives.
6502 has an emirp digit sum 13 in base 10.
6502 has a Fibonacci digit sum 13 in base 10.
6502 is the difference of 2 positive pentagonal numbers in 2 ways.
6502 = 6² + 29² + 75² is the sum of 3 positive squares.
6502² is the sum of 3 positive squares.
6502 is a proper divisor of 1237¹⁰ - 1.
6502 = '6' + '502' is the concatenation of 2 semiprime numbers.
6502 = '650' + '2' is the concatenation of 2 oblong numbers.
6502 is an emirpimes in (at least) the following bases: 3, 6, 8, 9, 11, 22, 24, 31, 39, 44, 49, 51, 54, 55, 56, 58, 59, 60, 61, 62, 63, 68, 70, 73, 76, 77, 78, 79, 80, 82, 83, 84, 85, 88, 91, 92, 95, 96, 97, 98, and 100.
6502 is palindromic in (at least) the following bases: 32, 38, 50, 52, and -65.
6502 in base 4 = 1211212 and consists of only the digits '1' and '2'.
6502 in base 5 = 202002 and consists of only the digits '0' and '2'.
6502 in base 25 = aa2 and consists of only the digits '2' and 'a'.
6502 in base 28 = 886 and consists of only the digits '6' and '8'.
6502 in base 31 = 6nn and consists of only the digits '6' and 'n'.
6502 in base 32 = 6b6 and consists of only the digits '6' and 'b'.
6502 in base 37 = 4RR and consists of only the digits '4' and 'R'.
6502 in base 38 = 4J4 and consists of only the digits '4' and 'J'.
6502 in base 46 = 33G and consists of only the digits '3' and 'G'.
6502 in base 49 = 2YY and consists of only the digits '2' and 'Y'.

The number 6502 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A006477: Number of partitions of n with at least 1 odd and 1 even part.
A017980: Powers of cube root of 2 rounded to nearest integer.
A017981: Powers of cube root of 2 rounded up.
A017986: Powers of cube root of 4 rounded to nearest integer.
A017987: Powers of cube root of 4 rounded up.
A047967: Number of partitions of n with some part repeated.
A101200: Number of partitions of n with rank 3 (the rank of a partition is the largest part minus the number of parts).
A186236: G.f.: exp( Sum_{n>=0} [ Sum_{k=0..2*n} A027907(n,k)^2 * x^k ]* x^n/n ), where A027907 is the triangle of trinomial coefficients.
A273366: a(n) = 10*n^2 + 10*n + 2.
A299281: Coordination sequence for "reo-e" 3D uniform tiling.