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10854 = 23467
BaseRepresentation
bin10101001100110
3112220000
42221212
5321404
6122130
743434
oct25146
915800
1010854
118178
126346
134c2c
143d54
153339
hex2a66

10854 has 20 divisors (see below), whose sum is σ = 24684. Its totient is φ = 3564.

The previous prime is 10853. The next prime is 10859. The reversal of 10854 is 45801.

It can be divided in two parts, 1085 and 4, that added together give a square (1089 = 332).

10854 is nontrivially palindromic in base 7.

10854 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10854 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

10854 is an undulating number in base 7.

It is a plaindrome in base 15.

It is a zygodrome in base 3.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 129 + ... + 195.

210854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342).

10854 is an abundant number, since it is smaller than the sum of its proper divisors (13830).

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

10854 is an equidigital number, since it uses as much as digits as its factorization.

10854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10854 is about 104.1825321251. The cubic root of 10854 is about 22.1409680763.

The spelling of 10854 in words is "ten thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 402 603 1206 1809 3618 5427 10854