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14564106 = 23223127277
BaseRepresentation
bin110111100011…
…101100001010
31000101221012100
4313203230022
512212022411
61240054230
7234535644
oct67435412
930357170
1014564106
118248257
124a64376
13302c11b
141d11894
15142a456
hexde3b0a

14564106 has 48 divisors (see below), whose sum is σ = 33306624. Its totient is φ = 4590432.

The previous prime is 14564071. The next prime is 14564107. The reversal of 14564106 is 60146541.

14564106 is a `hidden beast` number, since 14 + 5 + 641 + 0 + 6 = 666.

It is a super-2 number, since 2×145641062 = 424226367158472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14564106.

It is not an unprimeable number, because it can be changed into a prime (14564107) 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 23 ways as a sum of consecutive naturals, for example, 52440 + ... + 52716.

It is an arithmetic number, because the mean of its divisors is an integer number (693888).

Almost surely, 214564106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14564106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16653312).

14564106 is an abundant number, since it is smaller than the sum of its proper divisors (18742518).

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

14564106 is a wasteful number, since it uses less digits than its factorization.

14564106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14564106 is about 3816.2947999336. The cubic root of 14564106 is about 244.2087817072.

The spelling of 14564106 in words is "fourteen million, five hundred sixty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 127 138 207 254 277 381 414 554 762 831 1143 1662 2286 2493 2921 4986 5842 6371 8763 12742 17526 19113 26289 35179 38226 52578 57339 70358 105537 114678 211074 316611 633222 809117 1618234 2427351 4854702 7282053 14564106