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13112406 = 2321773587
BaseRepresentation
bin110010000001…
…010001010110
3220200011211200
4302001101112
511324044111
61145013330
7216311406
oct62012126
926604750
1013112406
1174465aa
124484246
132941428
141a54806
151240256
hexc81456

13112406 has 48 divisors (see below), whose sum is σ = 30545424. Its totient is φ = 4050432.

The previous prime is 13112383. The next prime is 13112417. The reversal of 13112406 is 60421131.

It is a happy number.

It is a super-2 number, since 2×131124062 = 343870382217672, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22045 + ... + 22631.

It is an arithmetic number, because the mean of its divisors is an integer number (636363).

Almost surely, 213112406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272712).

13112406 is an abundant number, since it is smaller than the sum of its proper divisors (17433018).

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

13112406 is a wasteful number, since it uses less digits than its factorization.

13112406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 682 counting only the distinct ones).

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

The square root of 13112406 is about 3621.1056322621. The cubic root of 13112406 is about 235.8092277120.

Adding to 13112406 its reverse (60421131), we get a palindrome (73533537).

The spelling of 13112406 in words is "thirteen million, one hundred twelve thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 73 102 146 153 219 306 438 587 657 1174 1241 1314 1761 2482 3522 3723 5283 7446 9979 10566 11169 19958 22338 29937 42851 59874 85702 89811 128553 179622 257106 385659 728467 771318 1456934 2185401 4370802 6556203 13112406