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540489105 = 35513191801
BaseRepresentation
bin100000001101110…
…011010110010001
31101200000200200000
4200031303112101
52101331122410
6125344320213
716252036662
oct4015632621
91350020600
10540489105
11258101512
12131013069
1387c90450
1451ad5369
15326b4dc0
hex20373591

540489105 has 96 divisors (see below), whose sum is σ = 1101959040. Its totient is φ = 251942400.

The previous prime is 540489091. The next prime is 540489107. The reversal of 540489105 is 501984045.

540489105 is a `hidden beast` number, since 540 + 4 + 8 + 9 + 105 = 666.

It is not a de Polignac number, because 540489105 - 25 = 540489073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540489105.

It is not an unprimeable number, because it can be changed into a prime (540489107) 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 95 ways as a sum of consecutive naturals, for example, 299205 + ... + 301005.

It is an arithmetic number, because the mean of its divisors is an integer number (11478740).

Almost surely, 2540489105 is an apocalyptic number.

It is an amenable number.

540489105 is an abundant number, since it is smaller than the sum of its proper divisors (561469935).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540489105 is a wasteful number, since it uses less digits than its factorization.

540489105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 540489105 is about 23248.4215593231. The cubic root of 540489105 is about 814.5710691627.

The spelling of 540489105 in words is "five hundred forty million, four hundred eighty-nine thousand, one hundred five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 243 247 285 351 405 513 585 741 855 1053 1215 1235 1539 1755 1801 2223 2565 3159 3705 4617 5265 5403 6669 7695 9005 11115 15795 16209 20007 23085 23413 27015 33345 34219 48627 60021 70239 81045 100035 102657 117065 145881 171095 210717 243135 300105 307971 351195 437643 444847 513285 632151 729405 923913 1053585 1334541 1539855 1896453 2188215 2224235 2771739 3160755 4003623 4619565 5689359 6672705 8315217 9482265 12010869 13858695 20018115 28446795 36032607 41576085 60054345 108097821 180163035 540489105