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540549 = 32173533
BaseRepresentation
bin10000011111110000101
31000110111100
42003332011
5114244144
615330313
74410642
oct2037605
91013440
10540549
1133a139
12220999
1315c069
14100dc9
15aa269
hex83f85

540549 has 12 divisors (see below), whose sum is σ = 826956. Its totient is φ = 339072.

The previous prime is 540541. The next prime is 540557. The reversal of 540549 is 945045.

540549 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 (540541) and next prime (540557).

It can be written as a sum of positive squares in 2 ways, for example, as 431649 + 108900 = 657^2 + 330^2 .

It is not a de Polignac number, because 540549 - 23 = 540541 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540549.

It is not an unprimeable number, because it can be changed into a prime (540541) 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, 1614 + ... + 1919.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

2540549 is an apocalyptic number.

It is an amenable number.

540549 is a deficient number, since it is larger than the sum of its proper divisors (286407).

540549 is a wasteful number, since it uses less digits than its factorization.

540549 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 540549 is about 735.2203751257. The cubic root of 540549 is about 81.4601157301.

Subtracting 540549 from its reverse (945045), we obtain a square (404496 = 6362).

It can be divided in two parts, 540 and 549, that added together give a square (1089 = 332).

The spelling of 540549 in words is "five hundred forty thousand, five hundred forty-nine".

Divisors: 1 3 9 17 51 153 3533 10599 31797 60061 180183 540549