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288063 = 3347227
BaseRepresentation
bin1000110010100111111
3112122011000
41012110333
533204223
610101343
72306556
oct1062477
9478130
10288063
11187476
1211a853
13a1169
1476d9d
155a543
hex4653f

288063 has 16 divisors (see below), whose sum is σ = 437760. Its totient is φ = 187128.

The previous prime is 288061. The next prime is 288077. The reversal of 288063 is 360882.

It is not a de Polignac number, because 288063 - 21 = 288061 is a prime.

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 288063.

It is not an unprimeable number, because it can be changed into a prime (288061) 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 15 ways as a sum of consecutive naturals, for example, 1156 + ... + 1382.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2288063 is an apocalyptic number.

288063 is a deficient number, since it is larger than the sum of its proper divisors (149697).

288063 is a wasteful number, since it uses less digits than its factorization.

288063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 288063 is about 536.7150081747. The cubic root of 288063 is about 66.0433599374.

The spelling of 288063 in words is "two hundred eighty-eight thousand, sixty-three".

Divisors: 1 3 9 27 47 141 227 423 681 1269 2043 6129 10669 32007 96021 288063