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540404513 = 11267191349
BaseRepresentation
bin100000001101011…
…110101100100001
31101122212101121222
4200031132230201
52101320421023
6125342424425
716251235235
oct4015365441
91348771558
10540404513
11258053a00
12130b92115
1387c60aac
1451ab25c5
1532699cc8
hex2035eb21

540404513 has 24 divisors (see below), whose sum is σ = 607756800. Its totient is φ = 480031200.

The previous prime is 540404509. The next prime is 540404539. The reversal of 540404513 is 315404045.

It is not a de Polignac number, because 540404513 - 22 = 540404509 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540404413) 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 23 ways as a sum of consecutive naturals, for example, 1548263 + ... + 1548611.

It is an arithmetic number, because the mean of its divisors is an integer number (25323200).

Almost surely, 2540404513 is an apocalyptic number.

It is an amenable number.

540404513 is a deficient number, since it is larger than the sum of its proper divisors (67352287).

540404513 is a wasteful number, since it uses less digits than its factorization.

540404513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 540404513 is about 23246.6021818243. The cubic root of 540404513 is about 814.5285707476.

Adding to 540404513 its reverse (315404045), we get a palindrome (855808558).

The spelling of 540404513 in words is "five hundred forty million, four hundred four thousand, five hundred thirteen".

Divisors: 1 11 67 121 191 349 737 2101 3839 8107 12797 23111 23383 42229 66659 140767 257213 733249 1548437 2829343 4466153 8065739 49127683 540404513