Search a number
-
+
14086016 = 27779199
BaseRepresentation
bin110101101110…
…111110000000
3222111122101022
4311232332000
512101223031
61221525012
7230505050
oct65567600
928448338
1014086016
117a5103a
124873768
132bc2629
141c29560
15138397b
hexd6ef80

14086016 has 64 divisors (see below), whose sum is σ = 32640000. Its totient is φ = 5930496.

The previous prime is 14086003. The next prime is 14086021. The reversal of 14086016 is 61068041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70685 + ... + 70883.

It is an arithmetic number, because the mean of its divisors is an integer number (510000).

Almost surely, 214086016 is an apocalyptic number.

14086016 is a gapful number since it is divisible by the number (16) 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 14086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320000).

14086016 is an abundant number, since it is smaller than the sum of its proper divisors (18553984).

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

14086016 is an equidigital number, since it uses as much as digits as its factorization.

14086016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 14086016 is about 3753.1341569414. The cubic root of 14086016 is about 241.5068161027.

The spelling of 14086016 in words is "fourteen million, eighty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 199 224 316 398 448 553 632 796 896 1106 1264 1393 1592 2212 2528 2786 3184 4424 5056 5572 6368 8848 10112 11144 12736 15721 17696 22288 25472 31442 35392 44576 62884 70784 89152 110047 125768 178304 220094 251536 440188 503072 880376 1006144 1760752 2012288 3521504 7043008 14086016