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10857 = 371147
BaseRepresentation
bin10101001101001
3112220010
42221221
5321412
6122133
743440
oct25151
915803
1010857
118180
126349
134c32
143d57
15333c
hex2a69

10857 has 16 divisors (see below), whose sum is σ = 18432. Its totient is φ = 5520.

The previous prime is 10853. The next prime is 10859. The reversal of 10857 is 75801.

Adding to 10857 its sum of digits (21), we get a triangular number (10878 = T147).

It is a happy number.

10857 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10857 - 22 = 10853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10853) 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 15 ways as a sum of consecutive naturals, for example, 208 + ... + 254.

It is an arithmetic number, because the mean of its divisors is an integer number (1152).

210857 is an apocalyptic number.

It is an amenable number.

10857 is a deficient number, since it is larger than the sum of its proper divisors (7575).

10857 is a wasteful number, since it uses less digits than its factorization.

10857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 10857 is about 104.1969289375. The cubic root of 10857 is about 22.1430077786.

The spelling of 10857 in words is "ten thousand, eight hundred fifty-seven".

Divisors: 1 3 7 11 21 33 47 77 141 231 329 517 987 1551 3619 10857