Search a number
-
+
14810016 = 2531311867
BaseRepresentation
bin111000011111…
…101110100000
31000212102112010
4320133232200
512242410031
61245232520
7236611614
oct70375640
930772463
1014810016
1183a5a91
124b62740
1330b7030
141d77344
151478246
hexe1fba0

14810016 has 48 divisors (see below), whose sum is σ = 41870304. Its totient is φ = 4556544.

The previous prime is 14809973. The next prime is 14810023. The reversal of 14810016 is 61001841.

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

It is a junction number, because it is equal to n+sod(n) for n = 14809974 and 14810001.

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, 4686 + ... + 7181.

It is an arithmetic number, because the mean of its divisors is an integer number (872298).

Almost surely, 214810016 is an apocalyptic number.

14810016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14810016 is an abundant number, since it is smaller than the sum of its proper divisors (27060288).

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

14810016 is a wasteful number, since it uses less digits than its factorization.

14810016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11893 (or 11885 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 14810016 is about 3848.3783597770. The cubic root of 14810016 is about 245.5755785682.

Adding to 14810016 its reverse (61001841), we get a palindrome (75811857).

The spelling of 14810016 in words is "fourteen million, eight hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 11867 23734 35601 47468 71202 94936 142404 154271 189872 284808 308542 379744 462813 569616 617084 925626 1139232 1234168 1851252 2468336 3702504 4936672 7405008 14810016