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12781568 = 211792
BaseRepresentation
bin110000110000…
…100000000000
3220001101000102
4300300200000
511233002233
61133541532
7213433022
oct60604000
926041012
1012781568
11723aa88
1243448a8
132856977
1419aa012
1511c71e8
hexc30800

12781568 has 36 divisors (see below), whose sum is σ = 25884495. Its totient is φ = 6309888.

The previous prime is 12781567. The next prime is 12781589. The reversal of 12781568 is 86518721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6390784 + 6390784 = 2528^2 + 2528^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2528.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12781567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 161753 + ... + 161831.

Almost surely, 212781568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12781568

12781568 is an abundant number, since it is smaller than the sum of its proper divisors (13102927).

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

12781568 is an frugal number, since it uses more digits than its factorization.

12781568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 81 counting only the distinct ones).

The product of its digits is 26880, while the sum is 38.

The square root of 12781568 is about 3575.1318856792. The cubic root of 12781568 is about 233.8090828372.

The spelling of 12781568 in words is "twelve million, seven hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1024 1264 2048 2528 5056 6241 10112 12482 20224 24964 40448 49928 80896 99856 161792 199712 399424 798848 1597696 3195392 6390784 12781568