Search a number
-
+
540014144 = 2614956629
BaseRepresentation
bin100000001011111…
…111011001000000
31101122010120010212
4200023333121000
52101220423034
6125330213252
716245021155
oct4013773100
91348116125
10540014144
1125790768a
12130a24228
1387b551c7
1451a1022c
153261e2ce
hex202ff640

540014144 has 28 divisors (see below), whose sum is σ = 1078801500. Its totient is φ = 268190208.

The previous prime is 540014117. The next prime is 540014173. The reversal of 540014144 is 441410045.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 131974144 + 408040000 = 11488^2 + 20200^2 .

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 3 ways as a sum of consecutive naturals, for example, 18779 + ... + 37850.

It is an arithmetic number, because the mean of its divisors is an integer number (38528625).

Almost surely, 2540014144 is an apocalyptic number.

It is an amenable number.

540014144 is a deficient number, since it is larger than the sum of its proper divisors (538787356).

540014144 is a wasteful number, since it uses less digits than its factorization.

540014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56790 (or 56780 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 540014144 is about 23238.2044056764. The cubic root of 540014144 is about 814.3323946799.

Adding to 540014144 its reverse (441410045), we get a palindrome (981424189).

The spelling of 540014144 in words is "five hundred forty million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 149 298 596 1192 2384 4768 9536 56629 113258 226516 453032 906064 1812128 3624256 8437721 16875442 33750884 67501768 135003536 270007072 540014144