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14105112 = 2337113743
BaseRepresentation
bin110101110011…
…101000011000
3222112121120120
4311303220120
512102330422
61222153240
7230614530
oct65635030
928477516
1014105112
117a6441a
124882820
132bcb228
141c324c0
15138945c
hexd73a18

14105112 has 64 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 3988992.

The previous prime is 14105083. The next prime is 14105131. The reversal of 14105112 is 21150141.

It is a happy number.

14105112 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 junction number, because it is equal to n+sod(n) for n = 14105091 and 14105100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18613 + ... + 19355.

It is an arithmetic number, because the mean of its divisors is an integer number (636120).

Almost surely, 214105112 is an apocalyptic number.

14105112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14105112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

14105112 is an abundant number, since it is smaller than the sum of its proper divisors (26606568).

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

14105112 is a wasteful number, since it uses less digits than its factorization.

14105112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 14105112 is about 3755.6773024316. The cubic root of 14105112 is about 241.6159013992.

Adding to 14105112 its reverse (21150141), we get a palindrome (35255253).

The spelling of 14105112 in words is "fourteen million, one hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 743 791 904 1356 1486 1582 2229 2373 2712 2972 3164 4458 4746 5201 5944 6328 8916 9492 10402 15603 17832 18984 20804 31206 41608 62412 83959 124824 167918 251877 335836 503754 587713 671672 1007508 1175426 1763139 2015016 2350852 3526278 4701704 7052556 14105112