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6000013 = 29206897
BaseRepresentation
bin10110111000110110001101
3102021211110201
4112320312031
53014000023
6332333501
7101666515
oct26706615
912254421
106000013
113428998
122014291
131321006
14b22845
157d7bad
hex5b8d8d

6000013 has 4 divisors (see below), whose sum is σ = 6206940. Its totient is φ = 5793088.

The previous prime is 6000011. The next prime is 6000023. The reversal of 6000013 is 3100006.

Subtracting from 6000013 its product of nonzero digits (18), we obtain a palindrome (5999995).

Adding to 6000013 its reverse (3100006), we get a palindrome (9100019).

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2566404 + 3433609 = 1602^2 + 1853^2 .

It is a cyclic number.

It is not a de Polignac number, because 6000013 - 21 = 6000011 is a prime.

It is a Duffinian number.

6000013 is a modest number, since divided by 13 gives 6 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000011) 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 in 3 ways as a sum of consecutive naturals, for example, 103420 + ... + 103477.

It is an arithmetic number, because the mean of its divisors is an integer number (1551735).

Almost surely, 26000013 is an apocalyptic number.

It is an amenable number.

6000013 is a deficient number, since it is larger than the sum of its proper divisors (206927).

6000013 is a wasteful number, since it uses less digits than its factorization.

6000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206926.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 6000013 is about 2449.4923963956. The cubic root of 6000013 is about 181.7121905196.

The spelling of 6000013 in words is "six million, thirteen", and thus it is an aban number and an uban number.

Divisors: 1 29 206897 6000013