Search a number
-
+
13227744 = 253227607
BaseRepresentation
bin110010011101…
…011011100000
3220220001001110
4302131123200
511341241434
61151303320
7220301565
oct62353340
926801043
1013227744
117515222
12451ab40
132981a8a
141a8486c
1512644e9
hexc9d6e0

13227744 has 48 divisors (see below), whose sum is σ = 34933248. Its totient is φ = 4382592.

The previous prime is 13227719. The next prime is 13227749. The reversal of 13227744 is 44772231.

13227744 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×132277442 = 349946422659072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13227749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21489 + ... + 22095.

It is an arithmetic number, because the mean of its divisors is an integer number (727776).

Almost surely, 213227744 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 13227744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466624).

13227744 is an abundant number, since it is smaller than the sum of its proper divisors (21705504).

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

13227744 is a wasteful number, since it uses less digits than its factorization.

13227744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 13227744 is about 3636.9965630998. The cubic root of 13227744 is about 236.4986106622.

Adding to 13227744 its reverse (44772231), we get a palindrome (57999975).

The spelling of 13227744 in words is "thirteen million, two hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 607 681 908 1214 1362 1816 1821 2428 2724 3632 3642 4856 5448 7264 7284 9712 10896 14568 19424 21792 29136 58272 137789 275578 413367 551156 826734 1102312 1653468 2204624 3306936 4409248 6613872 13227744