Search a number
-
+
540966042 = 232277108497
BaseRepresentation
bin100000001111100…
…111110010011010
31101200220220220100
4200033213302122
52101441403132
6125402440230
716256064321
oct4017476232
91350826810
10540966042
112583a7881
12131203076
13880c9566
1451bbb0b8
153275b37c
hex203e7c9a

540966042 has 24 divisors (see below), whose sum is σ = 1176335316. Its totient is φ = 179669376.

The previous prime is 540966037. The next prime is 540966047. The reversal of 540966042 is 240669045.

540966042 is a `hidden beast` number, since 5 + 40 + 9 + 6 + 604 + 2 = 666.

540966042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (540966037) and next prime (540966047).

It can be written as a sum of positive squares in 2 ways, for example, as 526289481 + 14676561 = 22941^2 + 3831^2 .

It is a junction number, because it is equal to n+sod(n) for n = 540965988 and 540966006.

It is not an unprimeable number, because it can be changed into a prime (540966047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49263 + ... + 59234.

Almost surely, 2540966042 is an apocalyptic number.

540966042 is an abundant number, since it is smaller than the sum of its proper divisors (635369274).

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

540966042 is a wasteful number, since it uses less digits than its factorization.

540966042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108782 (or 108779 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 540966042 is about 23258.6767035444. The cubic root of 540966042 is about 814.8105959553.

The spelling of 540966042 in words is "five hundred forty million, nine hundred sixty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 277 554 831 1662 2493 4986 108497 216994 325491 650982 976473 1952946 30053669 60107338 90161007 180322014 270483021 540966042