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20013 = 37953
BaseRepresentation
bin100111000101101
31000110020
410320231
51120023
6232353
7112230
oct47055
930406
1020013
1114044
12b6b9
139156
147417
155de3
hex4e2d

20013 has 8 divisors (see below), whose sum is σ = 30528. Its totient is φ = 11424.

The previous prime is 20011. The next prime is 20021. The reversal of 20013 is 31002.

20013 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 20013 - 21 = 20011 is a prime.

20013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 19983 and 20010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (3816).

220013 is an apocalyptic number.

It is an amenable number.

20013 is a deficient number, since it is larger than the sum of its proper divisors (10515).

20013 is an equidigital number, since it uses as much as digits as its factorization.

20013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 20013 is about 141.4673107117. The cubic root of 20013 is about 27.1500561303.

Adding to 20013 its reverse (31002), we get a palindrome (51015).

The spelling of 20013 in words is "twenty thousand, thirteen".

Divisors: 1 3 7 21 953 2859 6671 20013