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12780928 = 27313221
BaseRepresentation
bin110000110000…
…010110000000
3220001100010201
4300300112000
511232442203
61133534544
7213431116
oct60602600
926040121
1012780928
11723a556
124344454
1328565a4
1419a9ab6
1511c6e1d
hexc30580

12780928 has 32 divisors (see below), whose sum is σ = 26291520. Its totient is φ = 6182400.

The previous prime is 12780917. The next prime is 12780931. The reversal of 12780928 is 82908721.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2358 + ... + 5578.

It is an arithmetic number, because the mean of its divisors is an integer number (821610).

Almost surely, 212780928 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 12780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13145760).

12780928 is an abundant number, since it is smaller than the sum of its proper divisors (13510592).

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

12780928 is an equidigital number, since it uses as much as digits as its factorization.

12780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 12780928 is about 3575.0423773712. The cubic root of 12780928 is about 233.8051803345.

The spelling of 12780928 in words is "twelve million, seven hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3221 3968 6442 12884 25768 51536 99851 103072 199702 206144 399404 412288 798808 1597616 3195232 6390464 12780928