Search a number
-
+
285728310 = 23457223313
BaseRepresentation
bin10001000001111…
…101111000110110
3201220122111120000
4101001331320312
51041121301220
644204052130
710036436100
oct2101757066
9656574500
10285728310
111373169aa
127b834046
1347271b0a
1429d3a570
151a140390
hex1107de36

285728310 has 240 divisors, whose sum is σ = 935564256. Its totient is φ = 62270208.

The previous prime is 285728309. The next prime is 285728323. The reversal of 285728310 is 13827582.

285728310 is a `hidden beast` number, since 2 + 8 + 572 + 83 + 1 + 0 = 666.

285728310 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 2×2857283102 = 163281334270912200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 912714 + ... + 913026.

Almost surely, 2285728310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285728310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467782128).

285728310 is an abundant number, since it is smaller than the sum of its proper divisors (649835946).

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

285728310 is a wasteful number, since it uses less digits than its factorization.

285728310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 285728310 is about 16903.4999334457. The cubic root of 285728310 is about 658.6445321780.

The spelling of 285728310 in words is "two hundred eighty-five million, seven hundred twenty-eight thousand, three hundred ten".