Search a number
-
+
12806860 = 22511232531
BaseRepresentation
bin110000110110…
…101011001100
3220002122201011
4300312223030
511234304420
61134255004
7213566533
oct60665314
926078634
1012806860
117257a90
124357464
132865331
1419b531a
1511ce95a
hexc36acc

12806860 has 48 divisors (see below), whose sum is σ = 30627072. Its totient is φ = 4452800.

The previous prime is 12806749. The next prime is 12806861. The reversal of 12806860 is 6860821.

12806860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12806861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3795 + ... + 6325.

It is an arithmetic number, because the mean of its divisors is an integer number (638064).

Almost surely, 212806860 is an apocalyptic number.

12806860 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 12806860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313536).

12806860 is an abundant number, since it is smaller than the sum of its proper divisors (17820212).

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

12806860 is a wasteful number, since it uses less digits than its factorization.

12806860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 12806860 is about 3578.6673497267. The cubic root of 12806860 is about 233.9632006806.

The spelling of 12806860 in words is "twelve million, eight hundred six thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 2531 5060 5062 10124 12655 25310 27841 50620 55682 58213 111364 116426 139205 232852 278410 291065 556820 582130 640343 1164260 1280686 2561372 3201715 6403430 12806860