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540335125 = 53111572503
BaseRepresentation
bin100000001101001…
…101110000010101
31101122201212110001
4200031031300111
52101311211000
6125341131301
716250526031
oct4015156025
91348655401
10540335125
11258006860
12130b59b31
1387c38335
1451a951c1
153268446a
hex2034dc15

540335125 has 32 divisors (see below), whose sum is σ = 740623104. Its totient is φ = 390312000.

The previous prime is 540335099. The next prime is 540335141. The reversal of 540335125 is 521533045.

It is not a de Polignac number, because 540335125 - 25 = 540335093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540335093 and 540335102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214624 + ... + 217126.

It is an arithmetic number, because the mean of its divisors is an integer number (23144472).

Almost surely, 2540335125 is an apocalyptic number.

540335125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540335125 is a deficient number, since it is larger than the sum of its proper divisors (200287979).

540335125 is a wasteful number, since it uses less digits than its factorization.

540335125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 540335125 is about 23245.1097007521. The cubic root of 540335125 is about 814.4937074021.

The spelling of 540335125 in words is "five hundred forty million, three hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 125 157 275 785 1375 1727 2503 3925 8635 12515 19625 27533 43175 62575 137665 215875 312875 392971 688325 1964855 3441625 4322681 9824275 21613405 49121375 108067025 540335125