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12806080 = 26575717
BaseRepresentation
bin110000110110…
…011111000000
3220002121122021
4300312133000
511234243310
61134251224
7213564340
oct60663700
926077567
1012806080
117257441
124356b14
132864b81
1419b4d20
1511ce5da
hexc367c0

12806080 has 56 divisors (see below), whose sum is σ = 34856928. Its totient is φ = 4389888.

The previous prime is 12806077. The next prime is 12806099. The reversal of 12806080 is 8060821.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 619 + ... + 5098.

Almost surely, 212806080 is an apocalyptic number.

12806080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428464).

12806080 is an abundant number, since it is smaller than the sum of its proper divisors (22050848).

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

12806080 is an equidigital number, since it uses as much as digits as its factorization.

12806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 12806080 is about 3578.5583689525. The cubic root of 12806080 is about 233.9584507523.

The spelling of 12806080 in words is "twelve million, eight hundred six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5717 11434 22868 28585 40019 45736 57170 80038 91472 114340 160076 182944 200095 228680 320152 365888 400190 457360 640304 800380 914720 1280608 1600760 1829440 2561216 3201520 6403040 12806080