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13006217 = 745417
BaseRepresentation
bin110001100111…
…010110001001
3220110210011202
4301213112021
511312144332
61142433545
7215360000
oct61472611
926423152
1013006217
117383844
1244328b5
132904cb3
141a27c37
15121da62
hexc67589

13006217 has 10 divisors (see below), whose sum is σ = 15175818. Its totient is φ = 11146128.

The previous prime is 13006199. The next prime is 13006219. The reversal of 13006217 is 71260031.

It is a happy number.

13006217 is digitally balanced in base 2 and base 3, 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 only one way, i.e., 8357881 + 4648336 = 2891^2 + 2156^2 .

It is not a de Polignac number, because 13006217 - 26 = 13006153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13006219) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 308 + ... + 5109.

Almost surely, 213006217 is an apocalyptic number.

It is an amenable number.

13006217 is a deficient number, since it is larger than the sum of its proper divisors (2169601).

13006217 is an frugal number, since it uses more digits than its factorization.

13006217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 13006217 is about 3606.4133151928. The cubic root of 13006217 is about 235.1709454851.

Adding to 13006217 its reverse (71260031), we get a palindrome (84266248).

The spelling of 13006217 in words is "thirteen million, six thousand, two hundred seventeen".

Divisors: 1 7 49 343 2401 5417 37919 265433 1858031 13006217