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13006242 = 2321993631
BaseRepresentation
bin110001100111…
…010110100010
3220110210012200
4301213112202
511312144432
61142434030
7215360034
oct61472642
926423180
1013006242
117383867
124432916
132905002
141a27c54
15121da7c
hexc675a2

13006242 has 24 divisors (see below), whose sum is σ = 28329600. Its totient is φ = 4312440.

The previous prime is 13006219. The next prime is 13006249. The reversal of 13006242 is 24260031.

It is a happy number.

13006242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13006249) 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, 1767 + ... + 5397.

It is an arithmetic number, because the mean of its divisors is an integer number (1180400).

Almost surely, 213006242 is an apocalyptic number.

13006242 is an abundant number, since it is smaller than the sum of its proper divisors (15323358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13006242 is a wasteful number, since it uses less digits than its factorization.

13006242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13006242 is about 3606.4167812387. The cubic root of 13006242 is about 235.1710961635.

Adding to 13006242 its reverse (24260031), we get a palindrome (37266273).

The spelling of 13006242 in words is "thirteen million, six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 199 398 597 1194 1791 3582 3631 7262 10893 21786 32679 65358 722569 1445138 2167707 4335414 6503121 13006242