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540010116 = 223237405413
BaseRepresentation
bin100000001011111…
…110011010000100
31101122010100121200
4200023332122010
52101220310431
6125330142500
716245003342
oct4013763204
91348110550
10540010116
11257904658
12130a21a30
1387b53419
1451a0c992
153261cee6
hex202fe684

540010116 has 36 divisors (see below), whose sum is σ = 1401921612. Its totient is φ = 175137984.

The previous prime is 540010103. The next prime is 540010183. The reversal of 540010116 is 611010045.

540010116 is a `hidden beast` number, since 540 + 0 + 10 + 116 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 240374016 + 299636100 = 15504^2 + 17310^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5400101162 = 583221850764666912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 201375 + ... + 204038.

It is an arithmetic number, because the mean of its divisors is an integer number (38942267).

Almost surely, 2540010116 is an apocalyptic number.

It is an amenable number.

540010116 is an abundant number, since it is smaller than the sum of its proper divisors (861911496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540010116 is a wasteful number, since it uses less digits than its factorization.

540010116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405460 (or 405455 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 540010116 is about 23238.1177378892. The cubic root of 540010116 is about 814.3303699557.

The spelling of 540010116 in words is "five hundred forty million, ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 405413 810826 1216239 1621652 2432478 3648717 4864956 7297434 14594868 15000281 30000562 45000843 60001124 90001686 135002529 180003372 270005058 540010116