Search a number
-
+
13889056 = 2523113167
BaseRepresentation
bin110100111110…
…111000100000
3222010122012111
4310332320200
512023422211
61213405104
7226024606
oct64767040
928118174
1013889056
117927065
124799794
132b53a9c
141bb7876
151345421
hexd3ee20

13889056 has 48 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 6544384.

The previous prime is 13889041. The next prime is 13889059. The reversal of 13889056 is 65098831.

It is a happy number.

13889056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138890562 = 385811753142272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13889059) 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, 83085 + ... + 83251.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 213889056 is an apocalyptic number.

13889056 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 13889056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

13889056 is an abundant number, since it is smaller than the sum of its proper divisors (15068768).

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

13889056 is a wasteful number, since it uses less digits than its factorization.

13889056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 13889056 is about 3726.8023827405. The cubic root of 13889056 is about 240.3758924444.

The spelling of 13889056 in words is "thirteen million, eight hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 113 167 184 226 334 368 452 668 736 904 1336 1808 2599 2672 3616 3841 5198 5344 7682 10396 15364 18871 20792 30728 37742 41584 61456 75484 83168 122912 150968 301936 434033 603872 868066 1736132 3472264 6944528 13889056