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540207331 = 29473071291
BaseRepresentation
bin100000001100101…
…110100011100011
31101122111101010221
4200030232203203
52101243113311
6125334303511
716246454326
oct4014564343
91348441127
10540207331
11257a29844
12130ab7b97
1387bc2111
1451a607bd
153265b671
hex2032e8e3

540207331 has 16 divisors (see below), whose sum is σ = 573027840. Its totient is φ = 508425120.

The previous prime is 540207313. The next prime is 540207337. The reversal of 540207331 is 133702045.

It is a cyclic number.

It is not a de Polignac number, because 540207331 - 27 = 540207203 is a prime.

It is a super-2 number, since 2×5402073312 = 583647920932287122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540207296 and 540207305.

It is not an unprimeable number, because it can be changed into a prime (540207337) 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, 417796 + ... + 419086.

It is an arithmetic number, because the mean of its divisors is an integer number (35814240).

Almost surely, 2540207331 is an apocalyptic number.

540207331 is a deficient number, since it is larger than the sum of its proper divisors (32820509).

540207331 is a wasteful number, since it uses less digits than its factorization.

540207331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 540207331 is about 23242.3607019597. The cubic root of 540207331 is about 814.4294907022.

Adding to 540207331 its reverse (133702045), we get a palindrome (673909376).

The spelling of 540207331 in words is "five hundred forty million, two hundred seven thousand, three hundred thirty-one".

Divisors: 1 29 47 307 1291 1363 8903 14429 37439 60677 396337 418441 1759633 11493773 18627839 540207331