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12768440 = 235319211
BaseRepresentation
bin110000101101…
…010010111000
3220000201000012
4300231102320
511232042230
61133401052
7213346526
oct60552270
926021005
1012768440
117231133
124339188
1328509b9
1419a5316
1511c3395
hexc2d4b8

12768440 has 16 divisors (see below), whose sum is σ = 28729080. Its totient is φ = 5107360.

The previous prime is 12768419. The next prime is 12768449. The reversal of 12768440 is 4486721.

It is a junction number, because it is equal to n+sod(n) for n = 12768397 and 12768406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768449) 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 3 ways as a sum of consecutive naturals, for example, 159566 + ... + 159645.

Almost surely, 212768440 is an apocalyptic number.

12768440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12768440 is an abundant number, since it is smaller than the sum of its proper divisors (15960640).

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

12768440 is a wasteful number, since it uses less digits than its factorization.

12768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319222 (or 319218 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 12768440 is about 3573.2953978086. The cubic root of 12768440 is about 233.7290066651.

The spelling of 12768440 in words is "twelve million, seven hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 319211 638422 1276844 1596055 2553688 3192110 6384220 12768440