Search a number
-
+
289836 = 22328397
BaseRepresentation
bin1000110110000101100
3112201120200
41012300230
533233321
610113500
72315001
oct1066054
9481520
10289836
11188838
1211b890
13a1c01
14778a8
155ad26
hex46c2c

289836 has 36 divisors (see below), whose sum is σ = 749112. Its totient is φ = 94464.

The previous prime is 289789. The next prime is 289837. The reversal of 289836 is 638982.

289836 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 210 + 82 + 82 + 94 + 37 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 289836.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289836.

It is not an unprimeable number, because it can be changed into a prime (289837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2940 + ... + 3036.

2289836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374556).

289836 is an abundant number, since it is smaller than the sum of its proper divisors (459276).

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

289836 is a wasteful number, since it uses less digits than its factorization.

289836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 289836 is about 538.3641890022. The cubic root of 289836 is about 66.1785797323.

The spelling of 289836 in words is "two hundred eighty-nine thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 83 97 166 194 249 291 332 388 498 582 747 873 996 1164 1494 1746 2988 3492 8051 16102 24153 32204 48306 72459 96612 144918 289836