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14312116 = 22721341137
BaseRepresentation
bin110110100110…
…001010110100
3222221010112101
4312212022310
512130441431
61230431444
7232436200
oct66461264
928833471
1014312116
1180959a5
124962584
132c71510
141c87b00
1513ca961
hexda62b4

14312116 has 72 divisors (see below), whose sum is σ = 32376456. Its totient is φ = 5483520.

The previous prime is 14312107. The next prime is 14312119. The reversal of 14312116 is 61121341.

14312116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23716 + 14288400 = 154^2 + 3780^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14312093 and 14312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14312119) 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, 104400 + ... + 104536.

It is an arithmetic number, because the mean of its divisors is an integer number (449673).

Almost surely, 214312116 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 14312116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188228).

14312116 is an abundant number, since it is smaller than the sum of its proper divisors (18064340).

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

14312116 is a wasteful number, since it uses less digits than its factorization.

14312116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 14312116 is about 3783.1357363965. The cubic root of 14312116 is about 242.7921359704.

Adding to 14312116 its reverse (61121341), we get a palindrome (75433457).

The spelling of 14312116 in words is "fourteen million, three hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 41 49 52 82 91 98 137 164 182 196 274 287 364 533 548 574 637 959 1066 1148 1274 1781 1918 2009 2132 2548 3562 3731 3836 4018 5617 6713 7124 7462 8036 11234 12467 13426 14924 22468 24934 26117 26852 39319 49868 52234 73021 78638 87269 104468 146042 157276 174538 275233 292084 349076 511147 550466 1022294 1100932 2044588 3578029 7156058 14312116