Number of the day: 5020

Properties of the number 5020:

5020 is the 1268^th totient number.
5020 and 5564 are a pair of amicable numbers.
5020 = 2² × 5 × 251 is the 4347^th composite number and is not squarefree.
5020 has 3 distinct prime factors, 12 divisors, 5 antidivisors and 2000 totatives.
5020 has a prime digit sum 7 in base 10.
5020 = 1256² - 1254² = 256² - 246² is the difference of 2 nonnegative squares in 2 ways.
5020 is the difference of 2 positive pentagonal numbers in 2 ways.
5020 is the difference of 2 positive pentagonal pyramidal numbers in 1 way.
5020 is not the sum of 3 positive squares.
5020² = 3012² + 4016² is the sum of 2 positive squares in 1 way.
5020² is the sum of 3 positive squares.
5020 is a proper divisor of 503⁴ - 1.
5020 is palindromic in (at least) the following bases: 33, -18, and -38.
5020 in base 32 = 4ss and consists of only the digits '4' and 's'.
5020 in base 33 = 4k4 and consists of only the digits '4' and 'k'.

The number 5020 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001466: Denominators of greedy Egyptian fraction expansion of Pi - 3.
A002025: Smaller of an amicable pair: (a,b) such that sigma(a)=sigma(b)=a+b, a<b.
A063990: Amicable numbers.
A158652: Any two consecutive digits in the sequence sum up to a prime.
A188236: T(n,k)=Number of nondecreasing arrangements of n numbers in -(n+k-2)..(n+k-2) with sum zero and not more than two numbers equal
A256631: Numbers n such that the decimal expansions of both n and n^2 have 0 as smallest digit and 5 as largest digit.
A259180: Amicable pairs.
A259933: Amicable pairs (x < y) ordered by nondecreasing sum (x + y) and then by increasing x.
A276091: Numbers obtained by reinterpreting base-2 representation of n in A001563-base (A276326): a(n) = Sum_k>=0 {A030308(n,k)*A001563(k+1)}.
A316724: Generalized 26-gonal (or icosihexagonal) numbers: m*(12*m - 11) with m = 0, +1, -1, +2, -2, +3, -3, ...