Search a number
-
+
21742721 = 72111329107
BaseRepresentation
bin101001011110…
…0010010000001
31111220122101222
41102330102001
521031231341
62054004425
7352544600
oct122742201
944818358
1021742721
11113006a0
127346715
134673720
142c5da37
151d9744b
hex14bc481

21742721 has 48 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 14958720.

The previous prime is 21742709. The next prime is 21742727. The reversal of 21742721 is 12724712.

It is not a de Polignac number, because 21742721 - 218 = 21480577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21742727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203150 + ... + 203256.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 221742721 is an apocalyptic number.

It is an amenable number.

21742721 is a deficient number, since it is larger than the sum of its proper divisors (9283519).

21742721 is a wasteful number, since it uses less digits than its factorization.

21742721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its digits is 1568, while the sum is 26.

The square root of 21742721 is about 4662.9090705267. The cubic root of 21742721 is about 279.1073656571.

Subtracting from 21742721 its reverse (12724712), we obtain a square (9018009 = 30032).

The spelling of 21742721 in words is "twenty-one million, seven hundred forty-two thousand, seven hundred twenty-one".

Divisors: 1 7 11 13 29 49 77 91 107 143 203 319 377 539 637 749 1001 1177 1391 1421 2233 2639 3103 4147 5243 7007 8239 9737 15301 15631 18473 21721 29029 34133 40339 57673 68159 107107 152047 203203 238931 282373 443729 749749 1672517 1976611 3106103 21742721