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540120441 = 3789288989
BaseRepresentation
bin100000001100011…
…001010101111001
31101122022221221210
4200030121111321
52101232323231
6125332353333
716245643110
oct4014312571
91348287853
10540120441
1125797a533
12130a75849
1387b916c3
1451a3ac77
1532640a46
hex20319579

540120441 has 16 divisors (see below), whose sum is σ = 832291200. Its totient is φ = 305171328.

The previous prime is 540120439. The next prime is 540120443. The reversal of 540120441 is 144021045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540120439) and next prime (540120443).

It is not a de Polignac number, because 540120441 - 21 = 540120439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (540120443) 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 15 ways as a sum of consecutive naturals, for example, 142626 + ... + 146363.

It is an arithmetic number, because the mean of its divisors is an integer number (52018200).

Almost surely, 2540120441 is an apocalyptic number.

It is an amenable number.

540120441 is a deficient number, since it is larger than the sum of its proper divisors (292170759).

540120441 is a wasteful number, since it uses less digits than its factorization.

540120441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289088.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 540120441 is about 23240.4914104672. The cubic root of 540120441 is about 814.3858225469.

Adding to 540120441 its reverse (144021045), we get a palindrome (684141486).

The spelling of 540120441 in words is "five hundred forty million, one hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 7 21 89 267 623 1869 288989 866967 2022923 6068769 25720021 77160063 180040147 540120441