Search a number
-
+
13724249 = 7111371301
BaseRepresentation
bin110100010110…
…101001011001
3221211021010112
4310112221121
512003133444
61210054105
7224440250
oct64265131
927737115
1013724249
117824260
12471a335
132ac6a76
141b73797
15131169e
hexd16a59

13724249 has 16 divisors (see below), whose sum is σ = 17248896. Its totient is φ = 10608000.

The previous prime is 13724233. The next prime is 13724273. The reversal of 13724249 is 94242731.

13724249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13724249 - 24 = 13724233 is a prime.

It is a super-2 number, since 2×137242492 = 376710021228002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13724149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9899 + ... + 11199.

It is an arithmetic number, because the mean of its divisors is an integer number (1078056).

Almost surely, 213724249 is an apocalyptic number.

It is an amenable number.

13724249 is a deficient number, since it is larger than the sum of its proper divisors (3524647).

13724249 is a wasteful number, since it uses less digits than its factorization.

13724249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456.

The product of its digits is 12096, while the sum is 32.

The square root of 13724249 is about 3704.6253521780. The cubic root of 13724249 is about 239.4213432078.

The spelling of 13724249 in words is "thirteen million, seven hundred twenty-four thousand, two hundred forty-nine".

Divisors: 1 7 11 77 137 959 1301 1507 9107 10549 14311 100177 178237 1247659 1960607 13724249