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10287 = 34127
BaseRepresentation
bin10100000101111
3112010000
42200233
5312122
6115343
741664
oct24057
915100
1010287
117802
125b53
1348b4
143a6b
1530ac
hex282f

10287 has 10 divisors (see below), whose sum is σ = 15488. Its totient is φ = 6804.

The previous prime is 10273. The next prime is 10289. The reversal of 10287 is 78201.

10287 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10287 - 24 = 10271 is a prime.

It is a Duffinian number.

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 10287.

It is not an unprimeable number, because it can be changed into a prime (10289) 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 9 ways as a sum of consecutive naturals, for example, 18 + ... + 144.

210287 is an apocalyptic number.

10287 is a deficient number, since it is larger than the sum of its proper divisors (5201).

10287 is an equidigital number, since it uses as much as digits as its factorization.

10287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10287 is about 101.4248490263. The cubic root of 10287 is about 21.7485135726.

Adding to 10287 its reverse (78201), we get a palindrome (88488).

It can be divided in two parts, 1028 and 7, that added together give a triangular number (1035 = T45).

The spelling of 10287 in words is "ten thousand, two hundred eighty-seven".

Divisors: 1 3 9 27 81 127 381 1143 3429 10287