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12982893 = 373113137
BaseRepresentation
bin110001100001…
…101001101101
3220102121011220
4301201221231
511310423033
61142133553
7215232000
oct61415155
926377156
1012982893
117368270
1244212b9
1328c74b1
141a1d537
151216bb3
hexc61a6d

12982893 has 64 divisors (see below), whose sum is σ = 23347200. Its totient is φ = 6350400.

The previous prime is 12982889. The next prime is 12982897. The reversal of 12982893 is 39828921.

12982893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12982889) and next prime (12982897).

It is not a de Polignac number, because 12982893 - 22 = 12982889 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350871 + ... + 350907.

It is an arithmetic number, because the mean of its divisors is an integer number (364800).

Almost surely, 212982893 is an apocalyptic number.

It is an amenable number.

12982893 is a deficient number, since it is larger than the sum of its proper divisors (10364307).

12982893 is a wasteful number, since it uses less digits than its factorization.

12982893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 12982893 is about 3603.1781804402. The cubic root of 12982893 is about 235.0302843120.

It can be divided in two parts, 129828 and 93, that added together give a palindrome (129921).

The spelling of 12982893 in words is "twelve million, nine hundred eighty-two thousand, eight hundred ninety-three".

Divisors: 1 3 7 11 21 31 33 37 49 77 93 111 147 217 231 259 341 343 407 539 651 777 1023 1029 1147 1221 1519 1617 1813 2387 2849 3441 3773 4557 5439 7161 8029 8547 10633 11319 12617 12691 16709 19943 24087 31899 37851 38073 50127 56203 59829 88319 116963 139601 168609 264957 350889 393421 418803 618233 1180263 1854699 4327631 12982893