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540188385 = 35113273869
BaseRepresentation
bin100000001100101…
…001111011100001
31101122110102011020
4200030221323201
52101242012020
6125334040053
716246345152
oct4014517341
91348412136
10540188385
11257a16590
12130aa9029
1387bb65c9
1451a57929
1532655c40
hex20329ee1

540188385 has 16 divisors (see below), whose sum is σ = 942874560. Its totient is φ = 261909440.

The previous prime is 540188353. The next prime is 540188399. The reversal of 540188385 is 583881045.

It is not a de Polignac number, because 540188385 - 25 = 540188353 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 15 ways as a sum of consecutive naturals, for example, 1636770 + ... + 1637099.

It is an arithmetic number, because the mean of its divisors is an integer number (58929660).

Almost surely, 2540188385 is an apocalyptic number.

540188385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540188385 is a deficient number, since it is larger than the sum of its proper divisors (402686175).

540188385 is a wasteful number, since it uses less digits than its factorization.

540188385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273888.

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 540188385 is about 23241.9531236082. The cubic root of 540188385 is about 814.4199694433.

The spelling of 540188385 in words is "five hundred forty million, one hundred eighty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 11 15 33 55 165 3273869 9821607 16369345 36012559 49108035 108037677 180062795 540188385