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13027027 = 132194057
BaseRepresentation
bin110001101100…
…011011010011
3220111211201111
4301230123103
511313331102
61143114151
7215504446
oct61543323
926454644
1013027027
117398442
124442957
132911600
141a3165d
151224cd7
hexc6c6d3

13027027 has 12 divisors (see below), whose sum is σ = 14852280. Its totient is φ = 11389248.

The previous prime is 13027013. The next prime is 13027031. The reversal of 13027027 is 72072031.

It is not a de Polignac number, because 13027027 - 223 = 4638419 is a prime.

It is a Duffinian number.

13027027 is a modest number, since divided by 27027 gives 13 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 13026989 and 13027007.

It is not an unprimeable number, because it can be changed into a prime (13027067) 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 11 ways as a sum of consecutive naturals, for example, 1183 + ... + 5239.

It is an arithmetic number, because the mean of its divisors is an integer number (1237690).

Almost surely, 213027027 is an apocalyptic number.

13027027 is a deficient number, since it is larger than the sum of its proper divisors (1825253).

13027027 is a wasteful number, since it uses less digits than its factorization.

13027027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 13027027 is about 3609.2973000295. The cubic root of 13027027 is about 235.2963034736.

Adding to 13027027 its reverse (72072031), we get a palindrome (85099058).

The spelling of 13027027 in words is "thirteen million, twenty-seven thousand, twenty-seven".

Divisors: 1 13 19 169 247 3211 4057 52741 77083 685633 1002079 13027027