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540661132 = 2211175912251
BaseRepresentation
bin100000001110011…
…101010110001100
31101200100102122101
4200032131112030
52101402124012
6125352124444
716253354344
oct4016352614
91350312571
10540661132
11258209790
12131096724
138802083b
1451b3bd24
15326ead57
hex2039d58c

540661132 has 48 divisors (see below), whose sum is σ = 1111501440. Its totient is φ = 227360000.

The previous prime is 540661127. The next prime is 540661133. The reversal of 540661132 is 231166045.

It is a self number, because there is not a number n which added to its sum of digits gives 540661132.

It is not an unprimeable number, because it can be changed into a prime (540661133) by changing a digit.

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, 38007 + ... + 50257.

It is an arithmetic number, because the mean of its divisors is an integer number (23156280).

Almost surely, 2540661132 is an apocalyptic number.

It is an amenable number.

540661132 is an abundant number, since it is smaller than the sum of its proper divisors (570840308).

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

540661132 is a wasteful number, since it uses less digits than its factorization.

540661132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342 (or 12340 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 540661132 is about 23252.1210215326. The cubic root of 540661132 is about 814.6574806197.

The spelling of 540661132 in words is "five hundred forty million, six hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 59 68 118 187 236 374 649 748 1003 1298 2006 2596 4012 11033 12251 22066 24502 44132 49004 134761 208267 269522 416534 539044 722809 833068 1445618 2290937 2891236 4581874 7950899 9163748 12287753 15901798 24575506 31803596 49151012 135165283 270330566 540661132