Search a number
-
+
286322920 = 23513550621
BaseRepresentation
bin10001000100001…
…111000011101000
3201221202201012121
4101010033003220
51041244313140
644224521024
710044463462
oct2104170350
9657681177
10286322920
11137692714
127ba80174
134741c660
142a053132
151a20b64a
hex1110f0e8

286322920 has 32 divisors (see below), whose sum is σ = 693783720. Its totient is φ = 105719040.

The previous prime is 286322873. The next prime is 286322923. The reversal of 286322920 is 29223682.

It can be written as a sum of positive squares in 4 ways, for example, as 77404804 + 208918116 = 8798^2 + 14454^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (286322923) by changing a digit.

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, 274791 + ... + 275830.

Almost surely, 2286322920 is an apocalyptic number.

286322920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286322920 is an abundant number, since it is smaller than the sum of its proper divisors (407460800).

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

286322920 is a wasteful number, since it uses less digits than its factorization.

286322920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550645 (or 550641 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 286322920 is about 16921.0791618029. The cubic root of 286322920 is about 659.1011025815.

The spelling of 286322920 in words is "two hundred eighty-six million, three hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 550621 1101242 2202484 2753105 4404968 5506210 7158073 11012420 14316146 22024840 28632292 35790365 57264584 71580730 143161460 286322920