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1836 = 223317
BaseRepresentation
bin11100101100
32112000
4130230
524321
612300
75232
oct3454
92460
101836
11141a
121090
13ab3
14952
15826
hex72c

1836 has 24 divisors (see below), whose sum is σ = 5040. Its totient is φ = 576.

The previous prime is 1831. The next prime is 1847. The reversal of 1836 is 6381.

1836 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 33 + 83 + 64 .

It is an alternating number because its digits alternate between odd and even.

1836 is a Rhonda number in base 8.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 116.

It is an arithmetic number, because the mean of its divisors is an integer number (210).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520).

1836 is an abundant number, since it is smaller than the sum of its proper divisors (3204).

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

1836 is a wasteful number, since it uses less digits than its factorization.

1836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 22 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1836 is about 42.8485705713. The cubic root of 1836 is about 12.2449653058.

The spelling of 1836 in words is "one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836