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14007105 = 325753839
BaseRepresentation
bin110101011011…
…101101000001
3222100122010200
4311123231001
512041211410
61220115413
7230026020
oct65335501
928318120
1014007105
1179a7822
124835b69
132b95738
141c088b7
15136a3c0
hexd5bb41

14007105 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 6274944.

The previous prime is 14007101. The next prime is 14007137. The reversal of 14007105 is 50170041.

It is not a de Polignac number, because 14007105 - 22 = 14007101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14007101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16276 + ... + 17114.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 214007105 is an apocalyptic number.

14007105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14007105 is an abundant number, since it is smaller than the sum of its proper divisors (14297535).

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

14007105 is a wasteful number, since it uses less digits than its factorization.

14007105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 14007105 is about 3742.6067119055. The cubic root of 14007105 is about 241.0549910956.

Adding to 14007105 its reverse (50170041), we get a palindrome (64177146).

The spelling of 14007105 in words is "fourteen million, seven thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 265 315 371 477 795 839 1113 1855 2385 2517 3339 4195 5565 5873 7551 12585 16695 17619 29365 37755 44467 52857 88095 133401 222335 264285 311269 400203 667005 933807 1556345 2001015 2801421 4669035 14007105