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540393 = 3725733
BaseRepresentation
bin10000011111011101001
31000110021120
42003323221
5114243033
615325453
74410330
oct2037351
91013246
10540393
1133a007
12220889
1315bc79
14100d17
15aa1b3
hex83ee9

540393 has 8 divisors (see below), whose sum is σ = 823488. Its totient is φ = 308784.

The previous prime is 540391. The next prime is 540433. The reversal of 540393 is 393045.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 540393 - 21 = 540391 is a prime.

It is a Curzon number.

540393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (540391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12846 + ... + 12887.

It is an arithmetic number, because the mean of its divisors is an integer number (102936).

2540393 is an apocalyptic number.

It is an amenable number.

540393 is a deficient number, since it is larger than the sum of its proper divisors (283095).

540393 is a wasteful number, since it uses less digits than its factorization.

540393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25743.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 540393 is about 735.1142768305. The cubic root of 540393 is about 81.4522786356.

The spelling of 540393 in words is "five hundred forty thousand, three hundred ninety-three".

Divisors: 1 3 7 21 25733 77199 180131 540393