Search a number
-
+
19693 = 47419
BaseRepresentation
bin100110011101101
31000000101
410303231
51112233
6231101
7111262
oct46355
930011
1019693
1113883
12b491
138c6b
147269
155c7d
hex4ced

19693 has 4 divisors (see below), whose sum is σ = 20160. Its totient is φ = 19228.

The previous prime is 19687. The next prime is 19697. The reversal of 19693 is 39691.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 39691 = 192089.

It is a cyclic number.

It is not a de Polignac number, because 19693 - 25 = 19661 is a prime.

It is a Duffinian number.

19693 is a lucky number.

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19697) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163 + ... + 256.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

19693 is a Friedman number, since it can be written as 9+3^9+1^6, using all its digits and the basic arithmetic operations.

219693 is an apocalyptic number.

It is an amenable number.

19693 is a deficient number, since it is larger than the sum of its proper divisors (467).

19693 is an equidigital number, since it uses as much as digits as its factorization.

19693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its digits is 1458, while the sum is 28.

The square root of 19693 is about 140.3317497931. The cubic root of 19693 is about 27.0045716996.

It can be divided in two parts, 196 and 93, that added together give a square (289 = 172).

The spelling of 19693 in words is "nineteen thousand, six hundred ninety-three".

Divisors: 1 47 419 19693