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213921 = 3419139
BaseRepresentation
bin110100001110100001
3101212110000
4310032201
523321141
64330213
71550451
oct641641
9355400
10213921
111367a4
12a3969
13764a6
1457d61
15435b6
hex343a1

213921 has 20 divisors (see below), whose sum is σ = 338800. Its totient is φ = 134136.

The previous prime is 213919. The next prime is 213929. The reversal of 213921 is 129312.

It is a happy number.

It is not a de Polignac number, because 213921 - 21 = 213919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213894 and 213903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213921.

It is not an unprimeable number, because it can be changed into a prime (213929) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1470 + ... + 1608.

It is an arithmetic number, because the mean of its divisors is an integer number (16940).

2213921 is an apocalyptic number.

It is an amenable number.

213921 is a deficient number, since it is larger than the sum of its proper divisors (124879).

213921 is a wasteful number, since it uses less digits than its factorization.

213921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 213921 is about 462.5159456711. The cubic root of 213921 is about 59.8068790720.

The spelling of 213921 in words is "two hundred thirteen thousand, nine hundred twenty-one".

Divisors: 1 3 9 19 27 57 81 139 171 417 513 1251 1539 2641 3753 7923 11259 23769 71307 213921