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540216361 = 17247712829
BaseRepresentation
bin100000001100110…
…000110000101001
31101122111211112101
4200030300300221
52101243410421
6125334413401
716246522546
oct4014606051
91348454471
10540216361
11257a35603
12130b01261
1387bc6269
1451a63bcd
153265e191
hex20330c29

540216361 has 8 divisors (see below), whose sum is σ = 572269320. Its totient is φ = 508194048.

The previous prime is 540216349. The next prime is 540216371. The reversal of 540216361 is 163612045.

It can be written as a sum of positive squares in 4 ways, for example, as 220700736 + 319515625 = 14856^2 + 17875^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540216361 - 25 = 540216329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540216301) 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, 35695 + ... + 48523.

It is an arithmetic number, because the mean of its divisors is an integer number (71533665).

Almost surely, 2540216361 is an apocalyptic number.

It is an amenable number.

540216361 is a deficient number, since it is larger than the sum of its proper divisors (32052959).

540216361 is a wasteful number, since it uses less digits than its factorization.

540216361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15323.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 540216361 is about 23242.5549585238. The cubic root of 540216361 is about 814.4340286249.

The spelling of 540216361 in words is "five hundred forty million, two hundred sixteen thousand, three hundred sixty-one".

Divisors: 1 17 2477 12829 42109 218093 31777433 540216361