Number of the day: 54920

Properties of the number 54920:

54920 = 2³ × 5 × 1373 is the 49335^th composite number and is not squarefree.
54920 has 3 distinct prime factors, 16 divisors, 17 antidivisors and 21952 totatives.
54920 has an oblong digit sum 20 in base 10.
54920 = 13731² - 13729² = 6867² - 6863² = 2751² - 2741² = 1383² - 1363² is the difference of 2 nonnegative squares in 4 ways.
54920 is the difference of 2 positive pentagonal numbers in 2 ways.
54920 = 86² + 218² = 62² + 226² is the sum of 2 positive squares in 2 ways.
54920 = 8² + 10² + 234² is the sum of 3 positive squares.
54920² = 37496² + 40128² = 32952² + 43936² = 28024² + 47232² = 5920² + 54600² is the sum of 2 positive squares in 4 ways.
54920² is the sum of 3 positive squares.
54920 is a proper divisor of 1801⁷ - 1.
54920 is palindromic in (at least) the following bases: 47, -88, and -89.
54920 in base 47 = OeO and consists of only the digits 'O' and 'e'.
54920 in base 60 = FFK and consists of only the digits 'F' and 'K'.

The number 54920 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005956: Number of acyclic tertiary alcohols with n carbon atoms.
A067988: Row sums of triangle A067330; also of triangle A067418.
A082095: A 2nd order recursion: a(1)=a(2)=1; a(n)=p[a(n-2)]+Pi[a(n-1)]=A000040[a(n-2)]+A000720[a(n-1)].
A265678: Number of nX3 arrays containing 3 copies of 0..n-1 with no equal vertical or antidiagonal neighbors and new values introduced sequentially from 0.
A265679: T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal vertical or antidiagonal neighbors and new values introduced sequentially from 0.
A265682: Number of 5Xn arrays containing n copies of 0..5-1 with no equal vertical or antidiagonal neighbors and new values introduced sequentially from 0.