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213684 = 22317807
BaseRepresentation
bin110100001010110100
3101212010020
4310022310
523314214
64325140
71546662
oct641264
9355106
10213684
111365a9
12a37b0
1376353
1457c32
15434a9
hex342b4

213684 has 12 divisors (see below), whose sum is σ = 498624. Its totient is φ = 71224.

The previous prime is 213659. The next prime is 213713. The reversal of 213684 is 486312.

213684 = T145 + T146 + ... + T162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

213684 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8892 + ... + 8915.

It is an arithmetic number, because the mean of its divisors is an integer number (41552).

2213684 is an apocalyptic number.

It is an amenable number.

213684 is an abundant number, since it is smaller than the sum of its proper divisors (284940).

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

213684 is a wasteful number, since it uses less digits than its factorization.

213684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17814 (or 17812 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 213684 is about 462.2596672867. The cubic root of 213684 is about 59.7847845168.

Adding to 213684 its reverse (486312), we get a palindrome (699996).

The spelling of 213684 in words is "two hundred thirteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 17807 35614 53421 71228 106842 213684