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193821 = 323532
BaseRepresentation
bin101111010100011101
3100211212120
4233110131
522200241
64053153
71435035
oct572435
9324776
10193821
11122691
12941b9
136a2b4
14508c5
153c666
hex2f51d

193821 has 12 divisors (see below), whose sum is σ = 274848. Its totient is φ = 121264.

The previous prime is 193813. The next prime is 193841. The reversal of 193821 is 128391.

It is not a de Polignac number, because 193821 - 23 = 193813 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

193821 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 193791 and 193800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3631 + ... + 3683.

It is an arithmetic number, because the mean of its divisors is an integer number (22904).

2193821 is an apocalyptic number.

It is an amenable number.

193821 is a deficient number, since it is larger than the sum of its proper divisors (81027).

193821 is an equidigital number, since it uses as much as digits as its factorization.

193821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 79 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 193821 is about 440.2510647347. The cubic root of 193821 is about 57.8717937074.

The spelling of 193821 in words is "one hundred ninety-three thousand, eight hundred twenty-one".

Divisors: 1 3 23 53 69 159 1219 2809 3657 8427 64607 193821