Search a number
-
+
286206860 = 225130710949
BaseRepresentation
bin10001000011110…
…010101110001100
3201221112211000002
4101003302232030
51041232104420
644222223432
710043501222
oct2103625614
9657484002
10286206860
111376134a5
127ba24b78
13473ab894
142a022b12
151a1d7075
hex110f2b8c

286206860 has 24 divisors (see below), whose sum is σ = 601549200. Its totient is φ = 114384704.

The previous prime is 286206827. The next prime is 286206863. The reversal of 286206860 is 68602682.

286206860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2862068603 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (286206863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20666 + ... + 31614.

It is an arithmetic number, because the mean of its divisors is an integer number (25064550).

Almost surely, 2286206860 is an apocalyptic number.

286206860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286206860 is an abundant number, since it is smaller than the sum of its proper divisors (315342340).

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

286206860 is a wasteful number, since it uses less digits than its factorization.

286206860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12265 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 286206860 is about 16917.6493639040. The cubic root of 286206860 is about 659.0120357661.

The spelling of 286206860 in words is "two hundred eighty-six million, two hundred six thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 1307 2614 5228 6535 10949 13070 21898 26140 43796 54745 109490 218980 14310343 28620686 57241372 71551715 143103430 286206860