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1312014 = 2311103193
BaseRepresentation
bin101000000010100001110
32110122202010
411000110032
5313441024
644042050
714103054
oct5002416
92418663
101312014
11816810
12533326
1336c252
142621d4
151adb29
hex14050e

1312014 has 32 divisors (see below), whose sum is σ = 2905344. Its totient is φ = 391680.

The previous prime is 1312001. The next prime is 1312019. The reversal of 1312014 is 4102131.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6702 + ... + 6894.

It is an arithmetic number, because the mean of its divisors is an integer number (90792).

21312014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452672).

1312014 is an abundant number, since it is smaller than the sum of its proper divisors (1593330).

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

1312014 is a wasteful number, since it uses less digits than its factorization.

1312014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1312014 is about 1145.4317963109. The cubic root of 1312014 is about 109.4744628841.

Adding to 1312014 its reverse (4102131), we get a palindrome (5414145).

It can be divided in two parts, 131 and 2014, that added together give a triangular number (2145 = T65).

The spelling of 1312014 in words is "one million, three hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 103 193 206 309 386 579 618 1133 1158 2123 2266 3399 4246 6369 6798 12738 19879 39758 59637 119274 218669 437338 656007 1312014