Search a number
-
+
13162014 = 234113719
BaseRepresentation
bin110010001101…
…011000011110
3220202200220000
4302031120132
511332141024
61150035130
7216606135
oct62153036
926680800
1013162014
11747a8a8
1244a8aa6
13295ab98
141a6891c
15124ecc9
hexc8d61e

13162014 has 40 divisors (see below), whose sum is σ = 29795040. Its totient is φ = 4342464.

The previous prime is 13161991. The next prime is 13162043. The reversal of 13162014 is 41026131.

It is a happy number.

13162014 is a `hidden beast` number, since 1 + 31 + 620 + 14 = 666.

13162014 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 super-2 number, since 2×131620142 = 346477225072392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17947 + ... + 18665.

It is an arithmetic number, because the mean of its divisors is an integer number (744876).

Almost surely, 213162014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13162014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897520).

13162014 is an abundant number, since it is smaller than the sum of its proper divisors (16633026).

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

13162014 is a wasteful number, since it uses less digits than its factorization.

13162014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13162014 is about 3627.9490073594. The cubic root of 13162014 is about 236.1062315003.

Adding to 13162014 its reverse (41026131), we get a palindrome (54188145).

The spelling of 13162014 in words is "thirteen million, one hundred sixty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 719 1017 1438 2034 2157 3051 4314 6102 6471 9153 12942 18306 19413 38826 58239 81247 116478 162494 243741 487482 731223 1462446 2193669 4387338 6581007 13162014