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540113035 = 572111711789
BaseRepresentation
bin100000001100010…
…111100010001011
31101122022120210111
4200030113202023
52101232104120
6125332255151
716245612400
oct4014274213
91348276714
10540113035
11257974a10
12130a714b7
1387b8b217
1451a382a7
153263d75a
hex2031788b

540113035 has 48 divisors (see below), whose sum is σ = 870950880. Its totient is φ = 316861440.

The previous prime is 540113033. The next prime is 540113059. The reversal of 540113035 is 530311045.

It is a happy number.

It is not a de Polignac number, because 540113035 - 21 = 540113033 is a prime.

It is a super-2 number, since 2×5401130352 = 583444181153822450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540112997 and 540113015.

It is not an unprimeable number, because it can be changed into a prime (540113033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39921 + ... + 51709.

It is an arithmetic number, because the mean of its divisors is an integer number (18144810).

Almost surely, 2540113035 is an apocalyptic number.

540113035 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

540113035 is a deficient number, since it is larger than the sum of its proper divisors (330837845).

540113035 is a wasteful number, since it uses less digits than its factorization.

540113035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11836 (or 11829 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 540113035 is about 23240.3320759407. The cubic root of 540113035 is about 814.3821003098.

The spelling of 540113035 in words is "five hundred forty million, one hundred thirteen thousand, thirty-five".

Divisors: 1 5 7 11 17 35 49 55 77 85 119 187 245 385 539 595 833 935 1309 2695 4165 6545 9163 11789 45815 58945 82523 129679 200413 412615 577661 648395 907753 1002065 1402891 2204543 2888305 4538765 6354271 7014455 9820237 11022715 15431801 31771355 49101185 77159005 108022607 540113035