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13006021 = 72433613
BaseRepresentation
bin110001100111…
…010011000101
3220110202220111
4301213103011
511312143041
61142433021
7215356300
oct61472305
926422814
1013006021
117383686
124432771
132904b92
141a27b37
15121d981
hexc674c5

13006021 has 12 divisors (see below), whose sum is σ = 15189132. Its totient is φ = 11104128.

The previous prime is 13006009. The next prime is 13006027. The reversal of 13006021 is 12060031.

13006021 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 509796 + 12496225 = 714^2 + 3535^2 .

It is not a de Polignac number, because 13006021 - 27 = 13005893 is a prime.

13006021 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13005992 and 13006010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20911 + ... + 21523.

It is an arithmetic number, because the mean of its divisors is an integer number (1265761).

Almost surely, 213006021 is an apocalyptic number.

It is an amenable number.

13006021 is a deficient number, since it is larger than the sum of its proper divisors (2183111).

13006021 is an equidigital number, since it uses as much as digits as its factorization.

13006021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 13006021 is about 3606.3861412777. The cubic root of 13006021 is about 235.1697641593.

Adding to 13006021 its reverse (12060031), we get a palindrome (25066052).

The spelling of 13006021 in words is "thirteen million, six thousand, twenty-one".

Divisors: 1 7 49 433 613 3031 4291 21217 30037 265429 1858003 13006021