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285984 = 2533331
BaseRepresentation
bin1000101110100100000
3112112022000
41011310200
533122414
610044000
72300526
oct1056440
9475260
10285984
11185956
12119600
13a022a
1476316
1559b09
hex45d20

285984 has 48 divisors (see below), whose sum is σ = 836640. Its totient is φ = 95040.

The previous prime is 285983. The next prime is 285997. The reversal of 285984 is 489582.

285984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285984.

It is not an unprimeable number, because it can be changed into a prime (285983) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 699 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (17430).

2285984 is an apocalyptic number.

285984 is a gapful number since it is divisible by the number (24) 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 285984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418320).

285984 is an abundant number, since it is smaller than the sum of its proper divisors (550656).

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

285984 is a wasteful number, since it uses less digits than its factorization.

285984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 285984 is about 534.7747189238. The cubic root of 285984 is about 65.8840940916.

The spelling of 285984 in words is "two hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 331 432 662 864 993 1324 1986 2648 2979 3972 5296 5958 7944 8937 10592 11916 15888 17874 23832 31776 35748 47664 71496 95328 142992 285984