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540142589 = 7337401571
BaseRepresentation
bin100000001100011…
…110101111111101
31101122101002100002
4200030132233331
52101234030324
6125333044045
716246064510
oct4014365775
91348332302
10540142589
11257995138
12130a86625
1387b9b7cc
1451a44d77
15326473ae
hex2031ebfd

540142589 has 16 divisors (see below), whose sum is σ = 621768576. Its totient is φ = 459648000.

The previous prime is 540142571. The next prime is 540142591. The reversal of 540142589 is 985241045.

It is not a de Polignac number, because 540142589 - 28 = 540142333 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540142289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945674 + ... + 946244.

It is an arithmetic number, because the mean of its divisors is an integer number (38860536).

Almost surely, 2540142589 is an apocalyptic number.

It is an amenable number.

540142589 is a deficient number, since it is larger than the sum of its proper divisors (81625987).

540142589 is a wasteful number, since it uses less digits than its factorization.

540142589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316.

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 540142589 is about 23240.9679015311. The cubic root of 540142589 is about 814.3969538732.

The spelling of 540142589 in words is "five hundred forty million, one hundred forty-two thousand, five hundred eighty-nine".

Divisors: 1 7 337 401 571 2359 2807 3997 135137 192427 228971 945959 1346989 1602797 77163227 540142589