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12414112 = 2523101167
BaseRepresentation
bin101111010110…
…110010100000
3212100200221221
4233112302200
511134222422
61122024424
7210342514
oct57266240
925320857
1012414112
1170099a7
1241a8114
132758639
141912144
1511533c7
hexbd6ca0

12414112 has 48 divisors (see below), whose sum is σ = 25909632. Its totient is φ = 5843200.

The previous prime is 12414107. The next prime is 12414113. The reversal of 12414112 is 21141421.

It is a happy number.

12414112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124141122 = 308220353497088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12414113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74253 + ... + 74419.

It is an arithmetic number, because the mean of its divisors is an integer number (539784).

Almost surely, 212414112 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 12414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954816).

12414112 is an abundant number, since it is smaller than the sum of its proper divisors (13495520).

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

12414112 is a wasteful number, since it uses less digits than its factorization.

12414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 12414112 is about 3523.3665719025. The cubic root of 12414112 is about 231.5466772201.

Adding to 12414112 its reverse (21141421), we get a palindrome (33555533).

The spelling of 12414112 in words is "twelve million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 101 167 184 202 334 368 404 668 736 808 1336 1616 2323 2672 3232 3841 4646 5344 7682 9292 15364 16867 18584 30728 33734 37168 61456 67468 74336 122912 134936 269872 387941 539744 775882 1551764 3103528 6207056 12414112