Search a number
-
+
14130320 = 245176629
BaseRepresentation
bin110101111001…
…110010010000
3222120220011012
4311321302100
512104132240
61222510052
7231051161
oct65716220
928526135
1014130320
117a81356
124895328
132c09849
141c3b768
151391b65
hexd79c90

14130320 has 20 divisors (see below), whose sum is σ = 32853180. Its totient is φ = 5652096.

The previous prime is 14130299. The next prime is 14130331. The reversal of 14130320 is 2303141.

14130320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6990736 + 7139584 = 2644^2 + 2672^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 14130295 and 14130304.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88235 + ... + 88394.

It is an arithmetic number, because the mean of its divisors is an integer number (1642659).

Almost surely, 214130320 is an apocalyptic number.

14130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14130320 is an abundant number, since it is smaller than the sum of its proper divisors (18722860).

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

14130320 is a wasteful number, since it uses less digits than its factorization.

14130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176642 (or 176636 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 14130320 is about 3759.0317902354. The cubic root of 14130320 is about 241.7597506393.

Adding to 14130320 its reverse (2303141), we get a palindrome (16433461).

The spelling of 14130320 in words is "fourteen million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 176629 353258 706516 883145 1413032 1766290 2826064 3532580 7065160 14130320