Search a number
-
+
213030 = 2345263
BaseRepresentation
bin110100000000100110
3101211020000
4310000212
523304110
64322130
71545036
oct640046
9354200
10213030
11136064
12a3346
1375c6c
14578c6
15431c0
hex34026

213030 has 40 divisors (see below), whose sum is σ = 574992. Its totient is φ = 56592.

The previous prime is 213029. The next prime is 213043. The reversal of 213030 is 30312.

It is a happy number.

213030 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 679 + ... + 941.

2213030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287496).

213030 is an abundant number, since it is smaller than the sum of its proper divisors (361962).

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

213030 is a wasteful number, since it uses less digits than its factorization.

213030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 213030 is about 461.5517305785. The cubic root of 213030 is about 59.7237298660.

Adding to 213030 its reverse (30312), we get a palindrome (243342).

The spelling of 213030 in words is "two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 263 270 405 526 789 810 1315 1578 2367 2630 3945 4734 7101 7890 11835 14202 21303 23670 35505 42606 71010 106515 213030