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540163431 = 3320006053
BaseRepresentation
bin100000001100100…
…011110101100111
31101122102010221000
4200030203311213
52101240212211
6125333324343
716246212333
oct4014436547
91348363830
10540163431
112579a9865
12130a966b3
1387ba8142
1451a4c7c3
153264d656
hex20323d67

540163431 has 8 divisors (see below), whose sum is σ = 800242160. Its totient is φ = 360108936.

The previous prime is 540163417. The next prime is 540163511. The reversal of 540163431 is 134361045.

It is not a de Polignac number, because 540163431 - 210 = 540162407 is a prime.

It is a super-3 number, since 3×5401634313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 20006053 = 540163431 / (5 + 4 + 0 + 1 + 6 + 3 + 4 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540163395 and 540163404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540163531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10003000 + ... + 10003053.

It is an arithmetic number, because the mean of its divisors is an integer number (100030270).

Almost surely, 2540163431 is an apocalyptic number.

540163431 is a deficient number, since it is larger than the sum of its proper divisors (260078729).

540163431 is a wasteful number, since it uses less digits than its factorization.

540163431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20006062 (or 20006056 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 540163431 is about 23241.4162864486. The cubic root of 540163431 is about 814.4074285413.

The spelling of 540163431 in words is "five hundred forty million, one hundred sixty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 20006053 60018159 180054477 540163431