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12806160 = 243553359
BaseRepresentation
bin110000110110…
…100000010000
3220002121202020
4300312200100
511234244120
61134251440
7213564513
oct60664020
926077666
1012806160
117257504
124356b80
132864c13
1419b4d7a
1511ce640
hexc36810

12806160 has 40 divisors (see below), whose sum is σ = 39699840. Its totient is φ = 3414912.

The previous prime is 12806141. The next prime is 12806161. The reversal of 12806160 is 6160821.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12806160.

It is not an unprimeable number, because it can be changed into a prime (12806161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26440 + ... + 26919.

It is an arithmetic number, because the mean of its divisors is an integer number (992496).

Almost surely, 212806160 is an apocalyptic number.

12806160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12806160 is an abundant number, since it is smaller than the sum of its proper divisors (26893680).

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

12806160 is a wasteful number, since it uses less digits than its factorization.

12806160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53375 (or 53369 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12806160 is about 3578.5695466205. The cubic root of 12806160 is about 233.9589379333.

Adding to 12806160 its reverse (6160821), we get a palindrome (18966981).

The spelling of 12806160 in words is "twelve million, eight hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 53359 106718 160077 213436 266795 320154 426872 533590 640308 800385 853744 1067180 1280616 1600770 2134360 2561232 3201540 4268720 6403080 12806160