Search a number
-
+
14666016 = 253227673
BaseRepresentation
bin110111111100…
…100100100000
31000121002222210
4313330210200
512223303031
61242202120
7235442031
oct67744440
930532883
1014666016
118307882
124ab3340
133066621
141d3aa88
15144a746
hexdfc920

14666016 has 48 divisors (see below), whose sum is σ = 38725344. Its totient is φ = 4859904.

The previous prime is 14666011. The next prime is 14666033. The reversal of 14666016 is 61066641.

14666016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14666011) 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, 21456 + ... + 22128.

It is an arithmetic number, because the mean of its divisors is an integer number (806778).

Almost surely, 214666016 is an apocalyptic number.

14666016 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 14666016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362672).

14666016 is an abundant number, since it is smaller than the sum of its proper divisors (24059328).

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

14666016 is a wasteful number, since it uses less digits than its factorization.

14666016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 14666016 is about 3829.6234801871. The cubic root of 14666016 is about 244.7770622277. Note that the first 3 decimals are identical.

The spelling of 14666016 in words is "fourteen million, six hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 673 681 908 1346 1362 1816 2019 2692 2724 3632 4038 5384 5448 7264 8076 10768 10896 16152 21536 21792 32304 64608 152771 305542 458313 611084 916626 1222168 1833252 2444336 3666504 4888672 7333008 14666016