Search a number
-
+
12730641 = 372117873
BaseRepresentation
bin110000100100…
…000100010001
3212221210011020
4300210010101
511224340031
61132510053
7213131400
oct60440421
925853136
1012730641
1172057a0
12431b329
132839731
141995637
1511b7096
hexc24111

12730641 has 24 divisors (see below), whose sum is σ = 21543264. Its totient is φ = 6612480.

The previous prime is 12730631. The next prime is 12730651. The reversal of 12730641 is 14603721.

It is an interprime number because it is at equal distance from previous prime (12730631) and next prime (12730651).

It is not a de Polignac number, because 12730641 - 25 = 12730609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12730621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320 + ... + 5553.

It is an arithmetic number, because the mean of its divisors is an integer number (897636).

Almost surely, 212730641 is an apocalyptic number.

12730641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12730641 is a deficient number, since it is larger than the sum of its proper divisors (8812623).

12730641 is a wasteful number, since it uses less digits than its factorization.

12730641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7901 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12730641 is about 3568.0023822862. The cubic root of 12730641 is about 233.4981391241.

Subtracting 12730641 from its reverse (14603721), we obtain a triangular number (1873080 = T1935).

The spelling of 12730641 in words is "twelve million, seven hundred thirty thousand, six hundred forty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 7873 23619 55111 86603 165333 259809 385777 606221 1157331 1818663 4243547 12730641