Search a number
-
+
213606 = 23211867
BaseRepresentation
bin110100001001100110
3101212000100
4310021212
523313411
64324530
71546521
oct641146
9355010
10213606
11136538
12a3746
13762c3
1457bb8
1543456
hex34266

213606 has 12 divisors (see below), whose sum is σ = 462852. Its totient is φ = 71196.

The previous prime is 213599. The next prime is 213611. The reversal of 213606 is 606312.

It is a happy number.

213606 is nontrivially palindromic in base 8.

213606 is an esthetic number in base 15, 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), and also a Moran number because the ratio is a prime number: 11867 = 213606 / (2 + 1 + 3 + 6 + 0 + 6).

It is a Curzon 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 213606.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5916 + ... + 5951.

It is an arithmetic number, because the mean of its divisors is an integer number (38571).

2213606 is an apocalyptic number.

213606 is an abundant number, since it is smaller than the sum of its proper divisors (249246).

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

213606 is a wasteful number, since it uses less digits than its factorization.

213606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11875 (or 11872 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 213606 is about 462.1752914209. The cubic root of 213606 is about 59.7775093181. Note that the first 3 decimals are identical.

Adding to 213606 its reverse (606312), we get a palindrome (819918).

The spelling of 213606 in words is "two hundred thirteen thousand, six hundred six".

Divisors: 1 2 3 6 9 18 11867 23734 35601 71202 106803 213606