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540112353 = 3111071511013
BaseRepresentation
bin100000001100010…
…111010111100001
31101122022112212020
4200030113113201
52101232043403
6125332252053
716245610404
oct4014272741
91348275766
10540112353
11257974450
12130a71029
1387b8ab11
1451a37d3b
153263d453
hex203175e1

540112353 has 32 divisors (see below), whose sum is σ = 798999552. Its totient is φ = 321816000.

The previous prime is 540112351. The next prime is 540112367. The reversal of 540112353 is 353211045.

It is not a de Polignac number, because 540112353 - 21 = 540112351 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540112351) 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 31 ways as a sum of consecutive naturals, for example, 532675 + ... + 533687.

It is an arithmetic number, because the mean of its divisors is an integer number (24968736).

Almost surely, 2540112353 is an apocalyptic number.

It is an amenable number.

540112353 is a deficient number, since it is larger than the sum of its proper divisors (258887199).

540112353 is a wasteful number, since it uses less digits than its factorization.

540112353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 540112353 is about 23240.3174031681. The cubic root of 540112353 is about 814.3817575366.

Adding to 540112353 its reverse (353211045), we get a palindrome (893323398).

It can be divided in two parts, 540 and 112353, that multiplied together give a triangular number (60670620 = T11015).

The spelling of 540112353 in words is "five hundred forty million, one hundred twelve thousand, three hundred fifty-three".

Divisors: 1 3 11 33 107 151 321 453 1013 1177 1661 3039 3531 4983 11143 16157 33429 48471 108391 152963 177727 325173 458889 533181 1192301 1682593 3576903 5047779 16367041 49101123 180037451 540112353