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540666 = 23272613
BaseRepresentation
bin10000011111111111010
31000110122200
42003333322
5114300131
615331030
74411200
oct2037772
91013580
10540666
1133a235
12220a76
1315c129
14101070
15aa2e6
hex83ffa

540666 has 36 divisors (see below), whose sum is σ = 1364922. Its totient is φ = 154224.

The previous prime is 540629. The next prime is 540677. The reversal of 540666 is 666045.

It can be written as a sum of positive squares in only one way, i.e., 540225 + 441 = 735^2 + 21^2 .

540666 is a modest number, since divided by 666 gives 540 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540666.

It is an unprimeable number.

540666 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 17 ways as a sum of consecutive naturals, for example, 576 + ... + 1188.

2540666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682461).

540666 is an abundant number, since it is smaller than the sum of its proper divisors (824256).

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

540666 is a wasteful number, since it uses less digits than its factorization.

540666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

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

The square root of 540666 is about 735.2999388005. The cubic root of 540666 is about 81.4659925614.

The spelling of 540666 in words is "five hundred forty thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 613 882 1226 1839 3678 4291 5517 8582 11034 12873 25746 30037 38619 60074 77238 90111 180222 270333 540666