Search a number
-
+
13924016 = 2423157241
BaseRepresentation
bin110101000111…
…011010110000
3222012102011022
4311013122300
512031032031
61214235012
7226231541
oct65073260
928172138
1013924016
117950357
1247b5a68
132b66982
141bc64c8
15135097b
hexd476b0

13924016 has 40 divisors (see below), whose sum is σ = 28447584. Its totient is φ = 6589440.

The previous prime is 13924013. The next prime is 13924019. The reversal of 13924016 is 61042931.

13924016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13924013) and next prime (13924019).

It is not an unprimeable number, because it can be changed into a prime (13924013) 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, 57656 + ... + 57896.

Almost surely, 213924016 is an apocalyptic number.

13924016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13924016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14223792).

13924016 is an abundant number, since it is smaller than the sum of its proper divisors (14523568).

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

13924016 is a wasteful number, since it uses less digits than its factorization.

13924016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 13924016 is about 3731.4897829151. The cubic root of 13924016 is about 240.5774060251.

Adding to 13924016 its reverse (61042931), we get a palindrome (74966947).

The spelling of 13924016 in words is "thirteen million, nine hundred twenty-four thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 92 157 184 241 314 368 482 628 964 1256 1928 2512 3611 3856 5543 7222 11086 14444 22172 28888 37837 44344 57776 75674 88688 151348 302696 605392 870251 1740502 3481004 6962008 13924016