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540078539 = 74113132
BaseRepresentation
bin100000001100001…
…111000111001011
31101122020211110212
4200030033013023
52101230003124
6125331431335
716245410000
oct4014170713
91348224425
10540078539
11257951000
12130a5554b
1387b78600
1451a298a7
153263340e
hex2030f1cb

540078539 has 60 divisors (see below), whose sum is σ = 750421512. Its totient is φ = 388468080.

The previous prime is 540078503. The next prime is 540078599. The reversal of 540078539 is 935870045.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a de Polignac number, because none of the positive numbers 2k-540078539 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540078496 and 540078505.

It is not an unprimeable number, because it can be changed into a prime (540078599) 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 59 ways as a sum of consecutive naturals, for example, 41544497 + ... + 41544509.

Almost surely, 2540078539 is an apocalyptic number.

540078539 is a deficient number, since it is larger than the sum of its proper divisors (210342973).

540078539 is an frugal number, since it uses more digits than its factorization.

540078539 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 540078539 is about 23239.5899060203. The cubic root of 540078539 is about 814.3647622582.

The spelling of 540078539 in words is "five hundred forty million, seventy-eight thousand, five hundred thirty-nine".

Divisors: 1 7 11 13 49 77 91 121 143 169 343 539 637 847 1001 1183 1331 1573 1859 2401 3773 4459 5929 7007 8281 9317 11011 13013 17303 20449 26411 31213 41503 49049 57967 65219 77077 91091 121121 143143 224939 290521 343343 405769 456533 539539 637637 847847 1002001 1574573 3195731 3776773 4463459 5934929 7014007 11022011 41544503 49098049 77154077 540078539