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540307471 = 113419901
BaseRepresentation
bin100000001101000…
…111000000001111
31101122200110111211
4200031013000033
52101304314341
6125340355251
716250352304
oct4015070017
91348613454
10540307471
11257a98000
12130b45b27
1387c28882
1451a890ab
153267b181
hex2034700f

540307471 has 16 divisors (see below), whose sum is σ = 608854176. Its totient is φ = 479160000.

The previous prime is 540307459. The next prime is 540307483. The reversal of 540307471 is 174703045.

It is an interprime number because it is at equal distance from previous prime (540307459) and next prime (540307483).

It is not a de Polignac number, because 540307471 - 27 = 540307343 is a prime.

It is a super-3 number, since 3×5403074713 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540307451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49621 + ... + 59521.

It is an arithmetic number, because the mean of its divisors is an integer number (38053386).

Almost surely, 2540307471 is an apocalyptic number.

540307471 is a deficient number, since it is larger than the sum of its proper divisors (68546705).

540307471 is an equidigital number, since it uses as much as digits as its factorization.

540307471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9975 (or 9953 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 540307471 is about 23244.5148583488. The cubic root of 540307471 is about 814.4798120792.

The spelling of 540307471 in words is "five hundred forty million, three hundred seven thousand, four hundred seventy-one".

Divisors: 1 11 41 121 451 1331 4961 9901 54571 108911 405941 1198021 4465351 13178231 49118861 540307471