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213826 = 21719331
BaseRepresentation
bin110100001101000010
3101212022111
4310031002
523320301
64325534
71550254
oct641502
9355274
10213826
11136718
12a38aa
1376432
1457cd4
1543551
hex34342

213826 has 16 divisors (see below), whose sum is σ = 358560. Its totient is φ = 95040.

The previous prime is 213821. The next prime is 213827. The reversal of 213826 is 628312.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 213797 and 213806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213821) by changing a digit.

213826 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 in 7 ways as a sum of consecutive naturals, for example, 481 + ... + 811.

It is an arithmetic number, because the mean of its divisors is an integer number (22410).

2213826 is an apocalyptic number.

213826 is a deficient number, since it is larger than the sum of its proper divisors (144734).

213826 is a wasteful number, since it uses less digits than its factorization.

213826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its digits is 576, while the sum is 22.

The square root of 213826 is about 462.4132351047. The cubic root of 213826 is about 59.7980245653.

The spelling of 213826 in words is "two hundred thirteen thousand, eight hundred twenty-six".

Divisors: 1 2 17 19 34 38 323 331 646 662 5627 6289 11254 12578 106913 213826