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12838986 = 234411933
BaseRepresentation
bin110000111110…
…100001001010
3220011021210000
4300332201022
511241321421
61135103430
7214062306
oct60764112
926137700
1012838986
11727a136
124371b76
132876b44
1419c2d06
1511d9226
hexc3e84a

12838986 has 40 divisors (see below), whose sum is σ = 29485764. Its totient is φ = 4173120.

The previous prime is 12838979. The next prime is 12838993. The reversal of 12838986 is 68983821.

It is an interprime number because it is at equal distance from previous prime (12838979) and next prime (12838993).

It can be written as a sum of positive squares in 2 ways, for example, as 12383361 + 455625 = 3519^2 + 675^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5676 + ... + 7608.

Almost surely, 212838986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12838986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742882).

12838986 is an abundant number, since it is smaller than the sum of its proper divisors (16646778).

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

12838986 is a wasteful number, since it uses less digits than its factorization.

12838986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1979 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 12838986 is about 3583.1530807377. The cubic root of 12838986 is about 234.1586695062.

It can be divided in two parts, 12838 and 986, that added together give a cube (13824 = 243).

The spelling of 12838986 in words is "twelve million, eight hundred thirty-eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 1933 2214 3321 3866 5799 6642 11598 17397 34794 52191 79253 104382 156573 158506 237759 313146 475518 713277 1426554 2139831 4279662 6419493 12838986