Search a number
-
+
21793896 = 23321092777
BaseRepresentation
bin101001100100…
…0110001101000
31112000020121100
41103020301220
521034401041
62055041400
7353150025
oct123106150
945006540
1021793896
1111336093
127370260
134690ac7
142c7454c
151da76b6
hex14c8c68

21793896 has 48 divisors (see below), whose sum is σ = 59588100. Its totient is φ = 7195392.

The previous prime is 21793879. The next prime is 21793909. The reversal of 21793896 is 69839712.

It can be written as a sum of positive squares in 2 ways, for example, as 21622500 + 171396 = 4650^2 + 414^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6460 + ... + 9236.

Almost surely, 221793896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21793896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29794050).

21793896 is an abundant number, since it is smaller than the sum of its proper divisors (37794204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21793896 is a wasteful number, since it uses less digits than its factorization.

21793896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2891 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 21793896 is about 4668.3932996268. The cubic root of 21793896 is about 279.3261688148.

The spelling of 21793896 in words is "twenty-one million, seven hundred ninety-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 2777 3924 5554 7848 8331 11108 16662 22216 24993 33324 49986 66648 99972 199944 302693 605386 908079 1210772 1816158 2421544 2724237 3632316 5448474 7264632 10896948 21793896