Search a number
-
+
13926906 = 23271071033
BaseRepresentation
bin110101001000…
…000111111010
3222012120010100
4311020013322
512031130111
61214300230
7226243140
oct65100772
928176110
1013926906
117952544
1247b7676
132b68096
141bc7590
151351756
hexd481fa

13926906 has 48 divisors (see below), whose sum is σ = 34841664. Its totient is φ = 3938112.

The previous prime is 13926889. The next prime is 13926907. The reversal of 13926906 is 60962931.

13926906 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13926907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12966 + ... + 13998.

It is an arithmetic number, because the mean of its divisors is an integer number (725868).

Almost surely, 213926906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13926906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17420832).

13926906 is an abundant number, since it is smaller than the sum of its proper divisors (20914758).

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

13926906 is a wasteful number, since it uses less digits than its factorization.

13926906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 13926906 is about 3731.8770076196. The cubic root of 13926906 is about 240.5940492265.

The spelling of 13926906 in words is "thirteen million, nine hundred twenty-six thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1033 1498 1926 2066 2247 3099 4494 6198 6741 7231 9297 13482 14462 18594 21693 43386 65079 110531 130158 221062 331593 663186 773717 994779 1547434 1989558 2321151 4642302 6963453 13926906