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12648040 = 235316201
BaseRepresentation
bin110000001111…
…111001101000
3212210120211221
4300033321220
511214214130
61131031424
7212335516
oct60177150
925716757
1012648040
117159729
12429b574
13280ac62
1419734b6
15119c87a
hexc0fe68

12648040 has 16 divisors (see below), whose sum is σ = 28458180. Its totient is φ = 5059200.

The previous prime is 12648037. The next prime is 12648047. The reversal of 12648040 is 4084621.

12648040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11985444 + 662596 = 3462^2 + 814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12647996 and 12648014.

It is not an unprimeable number, because it can be changed into a prime (12648047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158061 + ... + 158140.

Almost surely, 212648040 is an apocalyptic number.

12648040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12648040 is an abundant number, since it is smaller than the sum of its proper divisors (15810140).

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

12648040 is a wasteful number, since it uses less digits than its factorization.

12648040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316212 (or 316208 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 12648040 is about 3556.4083005189. The cubic root of 12648040 is about 232.9920361747.

The spelling of 12648040 in words is "twelve million, six hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 316201 632402 1264804 1581005 2529608 3162010 6324020 12648040