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540128435 = 571123181337
BaseRepresentation
bin100000001100011…
…011010010110011
31101122100100220212
4200030123102303
52101233102220
6125332454335
716246005320
oct4014332263
91348310825
10540128435
11257985540
12130a7a3ab
1387b95232
1451a3db47
15326430c5
hex2031b4b3

540128435 has 64 divisors (see below), whose sum is σ = 850397184. Its totient is φ = 319334400.

The previous prime is 540128429. The next prime is 540128441. The reversal of 540128435 is 534821045.

It is an interprime number because it is at equal distance from previous prime (540128429) and next prime (540128441).

It is not a de Polignac number, because 540128435 - 28 = 540128179 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1602587 + ... + 1602923.

It is an arithmetic number, because the mean of its divisors is an integer number (13287456).

Almost surely, 2540128435 is an apocalyptic number.

540128435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

540128435 is a deficient number, since it is larger than the sum of its proper divisors (310268749).

540128435 is a wasteful number, since it uses less digits than its factorization.

540128435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 540128435 is about 23240.6633941460. The cubic root of 540128435 is about 814.3898402731.

The spelling of 540128435 in words is "five hundred forty million, one hundred twenty-eight thousand, four hundred thirty-five".

Divisors: 1 5 7 11 23 35 55 77 115 161 181 253 337 385 805 905 1265 1267 1685 1771 1991 2359 3707 4163 6335 7751 8855 9955 11795 13937 18535 20815 25949 29141 38755 45793 54257 60997 69685 85261 129745 145705 228965 271285 304985 320551 426305 426979 596827 670967 1402931 1602755 2134895 2984135 3354835 4696769 7014655 9820517 15432241 23483845 49102585 77161205 108025687 540128435