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5000013 = 32555557
BaseRepresentation
bin10011000100101101001101
3100102000201200
4103010231031
52240000023
6255100113
760333204
oct23045515
910360650
105000013
112905647
121811639
131060ab5
1494223b
1568b743
hex4c4b4d

5000013 has 6 divisors (see below), whose sum is σ = 7222254. Its totient is φ = 3333336.

The previous prime is 5000011. The next prime is 5000077. The reversal of 5000013 is 3100005.

It can be written as a sum of positive squares in only one way, i.e., 4485924 + 514089 = 2118^2 + 717^2 .

It is not a de Polignac number, because 5000013 - 21 = 5000011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 555557 = 5000013 / (5 + 0 + 0 + 0 + 0 + 1 + 3).

5000013 is a modest number, since divided by 13 gives 5 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4999959 and 5000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277770 + ... + 277787.

It is an arithmetic number, because the mean of its divisors is an integer number (1203709).

Almost surely, 25000013 is an apocalyptic number.

It is an amenable number.

5000013 is a deficient number, since it is larger than the sum of its proper divisors (2222241).

5000013 is a wasteful number, since it uses less digits than its factorization.

5000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555563 (or 555560 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 5000013 is about 2236.0708843863. The cubic root of 5000013 is about 170.9977428655.

Adding to 5000013 its reverse (3100005), we get a palindrome (8100018).

The spelling of 5000013 in words is "five million, thirteen", and thus it is an aban number and an uban number.

Divisors: 1 3 9 555557 1666671 5000013