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213832 = 2326729
BaseRepresentation
bin110100001101001000
3101212022201
4310031020
523320312
64325544
71550263
oct641510
9355281
10213832
11136723
12a38b4
1376438
1457cda
1543557
hex34348

213832 has 8 divisors (see below), whose sum is σ = 400950. Its totient is φ = 106912.

The previous prime is 213827. The next prime is 213833. The reversal of 213832 is 238312.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 171396 + 42436 = 414^2 + 206^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (213833) by changing a digit.

213832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13357 + ... + 13372.

2213832 is an apocalyptic number.

It is an amenable number.

213832 is a deficient number, since it is larger than the sum of its proper divisors (187118).

213832 is a wasteful number, since it uses less digits than its factorization.

213832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26735 (or 26731 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 213832 is about 462.4197227628. The cubic root of 213832 is about 59.7985838749.

The spelling of 213832 in words is "two hundred thirteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 26729 53458 106916 213832