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540920232 = 23327512781
BaseRepresentation
bin100000001111011…
…100100110101000
31101200211121001200
4200033130212220
52101433421412
6125401444200
716255513626
oct4017344650
91350747050
10540920232
11258376416
121311a0660
13880b1758
1451ba8516
153274c9dc
hex203dc9a8

540920232 has 24 divisors (see below), whose sum is σ = 1464992490. Its totient is φ = 180306720.

The previous prime is 540920231. The next prime is 540920249. The reversal of 540920232 is 232029045.

540920232 is a `hidden beast` number, since 5 + 409 + 20 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308845476 + 232074756 = 17574^2 + 15234^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 540920196 and 540920205.

It is not an unprimeable number, because it can be changed into a prime (540920231) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3756319 + ... + 3756462.

Almost surely, 2540920232 is an apocalyptic number.

It is an amenable number.

540920232 is an abundant number, since it is smaller than the sum of its proper divisors (924072258).

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

540920232 is a wasteful number, since it uses less digits than its factorization.

540920232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512793 (or 7512786 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 540920232 is about 23257.6918889214. The cubic root of 540920232 is about 814.7875954191.

Adding to 540920232 its reverse (232029045), we get a palindrome (772949277).

The spelling of 540920232 in words is "five hundred forty million, nine hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7512781 15025562 22538343 30051124 45076686 60102248 67615029 90153372 135230058 180306744 270460116 540920232