Search a number
-
+
20523973 is a prime number
BaseRepresentation
bin100111001001…
…0101111000101
31102121201121011
41032102233011
520223231343
62011522221
7336310441
oct116225705
942551534
1020523973
1110648a68
126a59371
134337a82
142a23821
151c0629d
hex1392bc5

20523973 has 2 divisors, whose sum is σ = 20523974. Its totient is φ = 20523972.

The previous prime is 20523949. The next prime is 20523983. The reversal of 20523973 is 37932502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19342404 + 1181569 = 4398^2 + 1087^2 .

It is a cyclic number.

It is not a de Polignac number, because 20523973 - 25 = 20523941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20523983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10261986 + 10261987.

It is an arithmetic number, because the mean of its divisors is an integer number (10261987).

Almost surely, 220523973 is an apocalyptic number.

It is an amenable number.

20523973 is a deficient number, since it is larger than the sum of its proper divisors (1).

20523973 is an equidigital number, since it uses as much as digits as its factorization.

20523973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 20523973 is about 4530.3391705258. The cubic root of 20523973 is about 273.7918260007.

The spelling of 20523973 in words is "twenty million, five hundred twenty-three thousand, nine hundred seventy-three".