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540510084 = 22341668241
BaseRepresentation
bin100000001101111…
…000011110000100
31101200001202110000
4200031320132010
52101332310314
6125345001300
716252155102
oct4015703604
91350052400
10540510084
11258116254
12131023230
1387c99b6a
1451adcc72
15326bb209
hex20378784

540510084 has 30 divisors (see below), whose sum is σ = 1413000974. Its totient is φ = 180169920.

The previous prime is 540510077. The next prime is 540510101. The reversal of 540510084 is 480015045.

It can be written as a sum of positive squares in only one way, i.e., 530012484 + 10497600 = 23022^2 + 3240^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 833797 + ... + 834444.

Almost surely, 2540510084 is an apocalyptic number.

540510084 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

540510084 is an abundant number, since it is smaller than the sum of its proper divisors (872490890).

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

540510084 is a wasteful number, since it uses less digits than its factorization.

540510084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668257 (or 1668246 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 540510084 is about 23248.8727468667. The cubic root of 540510084 is about 814.5816081758.

The spelling of 540510084 in words is "five hundred forty million, five hundred ten thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1668241 3336482 5004723 6672964 10009446 15014169 20018892 30028338 45042507 60056676 90085014 135127521 180170028 270255042 540510084