Search a number
-
+
13934106 = 23619503
BaseRepresentation
bin110101001001…
…111000011010
3222012221000000
4311021320122
512031342411
61214353430
7226303134
oct65117032
928187000
1013934106
11795799a
1247bb876
132b6b444
141bca054
151353956
hexd49e1a

13934106 has 56 divisors (see below), whose sum is σ = 33052320. Its totient is φ = 4391496.

The previous prime is 13934083. The next prime is 13934111. The reversal of 13934106 is 60143931.

13934106 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 (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13934106.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27451 + ... + 27953.

It is an arithmetic number, because the mean of its divisors is an integer number (590220).

Almost surely, 213934106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13934106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16526160).

13934106 is an abundant number, since it is smaller than the sum of its proper divisors (19118214).

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

13934106 is an equidigital number, since it uses as much as digits as its factorization.

13934106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13934106 is about 3732.8415449896. The cubic root of 13934106 is about 240.6355032465.

The spelling of 13934106 in words is "thirteen million, nine hundred thirty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 503 513 729 1006 1026 1458 1509 1539 3018 3078 4527 4617 9054 9234 9557 13581 13851 19114 27162 27702 28671 40743 57342 81486 86013 122229 172026 244458 258039 366687 516078 733374 774117 1548234 2322351 4644702 6967053 13934106