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540101493 = 3369128949
BaseRepresentation
bin100000001100010…
…100101101110101
31101122021222222000
4200030110231311
52101231221433
6125332125513
716245533631
oct4014245565
91348258860
10540101493
11257967278
12130a66899
1387b85ba9
1451a33dc1
153263a113
hex20314b75

540101493 has 16 divisors (see below), whose sum is σ = 801336000. Its totient is φ = 359534160.

The previous prime is 540101483. The next prime is 540101537. The reversal of 540101493 is 394101045.

It is not a de Polignac number, because 540101493 - 210 = 540100469 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540101453) 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, 4183 + ... + 33131.

It is an arithmetic number, because the mean of its divisors is an integer number (50083500).

Almost surely, 2540101493 is an apocalyptic number.

It is an amenable number.

540101493 is a deficient number, since it is larger than the sum of its proper divisors (261234507).

540101493 is a wasteful number, since it uses less digits than its factorization.

540101493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29649 (or 29643 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 540101493 is about 23240.0837563035. The cubic root of 540101493 is about 814.3762992617.

It can be divided in two parts, 54010149 and 3, that added together give a cube (54010152 = 3783).

The spelling of 540101493 in words is "five hundred forty million, one hundred one thousand, four hundred ninety-three".

Divisors: 1 3 9 27 691 2073 6219 18657 28949 86847 260541 781623 20003759 60011277 180033831 540101493