Search a number
-
+
13888832 = 26416779
BaseRepresentation
bin110100111110…
…110101000000
3222010121220012
4310332311000
512023420312
61213404052
7226024136
oct64766500
928117805
1013888832
117926981
124799628
132b53959
141bb7756
151345322
hexd3ed40

13888832 has 56 divisors (see below), whose sum is σ = 29016960. Its totient is φ = 6589440.

The previous prime is 13888817. The next prime is 13888841. The reversal of 13888832 is 23888831.

13888832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 13888832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175769 + ... + 175847.

It is an arithmetic number, because the mean of its divisors is an integer number (518160).

Almost surely, 213888832 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 13888832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508480).

13888832 is an abundant number, since it is smaller than the sum of its proper divisors (15128128).

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

13888832 is an equidigital number, since it uses as much as digits as its factorization.

13888832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The square root of 13888832 is about 3726.7723300465. The cubic root of 13888832 is about 240.3746001922.

Subtracting 13888832 from its reverse (23888831), we obtain a palindrome (9999999).

The spelling of 13888832 in words is "thirteen million, eight hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 67 79 82 134 158 164 268 316 328 536 632 656 1072 1264 1312 2144 2528 2624 2747 3239 4288 5056 5293 5494 6478 10586 10988 12956 21172 21976 25912 42344 43952 51824 84688 87904 103648 169376 175808 207296 217013 338752 434026 868052 1736104 3472208 6944416 13888832