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12612368 = 241789521
BaseRepresentation
bin110000000111…
…001100010000
3212201202220202
4300013030100
511212043433
61130154332
7212126516
oct60071420
925652822
1012612368
11713494a
1242829a8
1327c7952
1419644b6
151191ee8
hexc07310

12612368 has 40 divisors (see below), whose sum is σ = 26214840. Its totient is φ = 5857280.

The previous prime is 12612367. The next prime is 12612407. The reversal of 12612368 is 86321621.

It can be written as a sum of positive squares in 4 ways, for example, as 861184 + 11751184 = 928^2 + 3428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12612368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23948 + ... + 24468.

It is an arithmetic number, because the mean of its divisors is an integer number (655371).

Almost surely, 212612368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12612368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107420).

12612368 is an abundant number, since it is smaller than the sum of its proper divisors (13602472).

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

12612368 is a wasteful number, since it uses less digits than its factorization.

12612368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 12612368 is about 3551.3895871898. The cubic root of 12612368 is about 232.7727896146.

Adding to 12612368 its reverse (86321621), we get a palindrome (98933989).

The spelling of 12612368 in words is "twelve million, six hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 521 712 1042 1424 1513 2084 3026 4168 6052 8336 8857 12104 17714 24208 35428 46369 70856 92738 141712 185476 370952 741904 788273 1576546 3153092 6306184 12612368