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12993918 = 2372193229
BaseRepresentation
bin110001100100…
…010101111110
3220110011022020
4301210111332
511311301133
61142301010
7215306100
oct61442576
926404266
1012993918
117375583
124427766
1328cc512
141a23570
15121a0b3
hexc6457e

12993918 has 48 divisors (see below), whose sum is σ = 30520080. Its totient is φ = 3677184.

The previous prime is 12993917. The next prime is 12993931. The reversal of 12993918 is 81939921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12993918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12993917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56628 + ... + 56856.

It is an arithmetic number, because the mean of its divisors is an integer number (635835).

Almost surely, 212993918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12993918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15260040).

12993918 is an abundant number, since it is smaller than the sum of its proper divisors (17526162).

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

12993918 is a wasteful number, since it uses less digits than its factorization.

12993918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its digits is 34992, while the sum is 42.

The square root of 12993918 is about 3604.7077551447. The cubic root of 12993918 is about 235.0967942891.

The spelling of 12993918 in words is "twelve million, nine hundred ninety-three thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 193 229 294 386 458 579 687 1158 1351 1374 1603 2702 3206 4053 4809 8106 9457 9618 11221 18914 22442 28371 33663 44197 56742 67326 88394 132591 265182 309379 618758 928137 1856274 2165653 4331306 6496959 12993918