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12688938 = 2323531997
BaseRepresentation
bin110000011001…
…111000101010
3212212122221200
4300121320222
511222021223
61131545030
7212565663
oct60317052
925778850
1012688938
117187429
1242bb176
132823762
14198436a
1511a9a43
hexc19e2a

12688938 has 24 divisors (see below), whose sum is σ = 27584388. Its totient is φ = 4215552.

The previous prime is 12688937. The next prime is 12688943. The reversal of 12688938 is 83988621.

It can be written as a sum of positive squares in 2 ways, for example, as 11108889 + 1580049 = 3333^2 + 1257^2 .

It is a super-2 number, since 2×126889382 = 322018295135688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12688893 and 12688902.

It is not an unprimeable number, because it can be changed into a prime (12688931) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5356 + ... + 7352.

Almost surely, 212688938 is an apocalyptic number.

12688938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12688938 is an abundant number, since it is smaller than the sum of its proper divisors (14895450).

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

12688938 is a wasteful number, since it uses less digits than its factorization.

12688938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2355 counting only the distinct ones).

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

The square root of 12688938 is about 3562.1535621026. The cubic root of 12688938 is about 233.2428960178.

The spelling of 12688938 in words is "twelve million, six hundred eighty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 353 706 1059 1997 2118 3177 3994 5991 6354 11982 17973 35946 704941 1409882 2114823 4229646 6344469 12688938