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540319131 = 321119287251
BaseRepresentation
bin100000001101001…
…001110110011011
31101122201001111200
4200031021312123
52101310203011
6125340525243
716250431302
oct4015116633
91348631450
10540319131
11257aa5840
12130b50823
1387c30c81
1451a8d439
153267e856
hex20349d9b

540319131 has 24 divisors (see below), whose sum is σ = 896226240. Its totient is φ = 310230000.

The previous prime is 540319099. The next prime is 540319139. The reversal of 540319131 is 131913045.

540319131 is a `hidden beast` number, since 540 + 3 + 1 + 91 + 31 = 666.

It is not a de Polignac number, because 540319131 - 25 = 540319099 is a prime.

It is a super-2 number, since 2×5403191312 = 583889526649190322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540319095 and 540319104.

It is not an unprimeable number, because it can be changed into a prime (540319139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141745 + ... + 145506.

It is an arithmetic number, because the mean of its divisors is an integer number (37342760).

Almost surely, 2540319131 is an apocalyptic number.

540319131 is a deficient number, since it is larger than the sum of its proper divisors (355907109).

540319131 is a wasteful number, since it uses less digits than its factorization.

540319131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287287 (or 287284 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 540319131 is about 23244.7656688554. The cubic root of 540319131 is about 814.4856709446.

The spelling of 540319131 in words is "five hundred forty million, three hundred nineteen thousand, one hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 287251 861753 2585259 3159761 5457769 9479283 16373307 28437849 49119921 60035459 180106377 540319131