Search a number
-
+
286263100 = 225217316547
BaseRepresentation
bin10001000100000…
…000011100111100
3201221122200011001
4101010000130330
51041240404400
644223340044
710044124204
oct2104003474
9657580131
10286263100
11137651782
127ba51624
13473cb366
142a039404
151a1e8a6a
hex1110073c

286263100 has 36 divisors (see below), whose sum is σ = 624819384. Its totient is φ = 113836480.

The previous prime is 286263097. The next prime is 286263113. The reversal of 286263100 is 1362682.

286263100 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-2 number, since 2×2862631002 = 163893124843220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9027 + ... + 25573.

It is an arithmetic number, because the mean of its divisors is an integer number (17356094).

Almost surely, 2286263100 is an apocalyptic number.

286263100 is a gapful number since it is divisible by the number (20) 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 286263100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312409692).

286263100 is an abundant number, since it is smaller than the sum of its proper divisors (338556284).

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

286263100 is a wasteful number, since it uses less digits than its factorization.

286263100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16734 (or 16727 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 286263100 is about 16919.3114517110. The cubic root of 286263100 is about 659.0551984976.

The spelling of 286263100 in words is "two hundred eighty-six million, two hundred sixty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8650 16547 17300 33094 66188 82735 165470 330940 413675 827350 1654700 2862631 5725262 11450524 14313155 28626310 57252620 71565775 143131550 286263100