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285714 = 233111337
BaseRepresentation
bin1000101110000010010
3112111221000
41011300102
533120324
610042430
72266662
oct1056022
9474830
10285714
11185730
12119416
13a0080
14761a2
15599c9
hex45c12

285714 has 64 divisors (see below), whose sum is σ = 766080. Its totient is φ = 77760.

The previous prime is 285709. The next prime is 285721. The reversal of 285714 is 417582.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285714.

It is an unprimeable number.

285714 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7704 + ... + 7740.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2285714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

285714 is an abundant number, since it is smaller than the sum of its proper divisors (480366).

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

285714 is a wasteful number, since it uses less digits than its factorization.

285714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 285714 is about 534.5222165635. The cubic root of 285714 is about 65.8633536464.

It can be divided in two parts, 285 and 714, that added together give a palindrome (999).

The spelling of 285714 in words is "two hundred eighty-five thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 37 39 54 66 74 78 99 111 117 143 198 222 234 286 297 333 351 407 429 481 594 666 702 814 858 962 999 1221 1287 1443 1998 2442 2574 2886 3663 3861 4329 5291 7326 7722 8658 10582 10989 12987 15873 21978 25974 31746 47619 95238 142857 285714