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540617121 = 32115460779
BaseRepresentation
bin100000001110010…
…010100110100001
31101200021012021100
4200032102212201
52101344221441
6125351145013
716253112132
oct4016224641
91350235240
10540617121
11258189710
12131075169
13880067b5
1451b29c89
15326dccb6
hex203929a1

540617121 has 12 divisors (see below), whose sum is σ = 851881680. Its totient is φ = 327646680.

The previous prime is 540617107. The next prime is 540617137. The reversal of 540617121 is 121716045.

It is a happy number.

540617121 is a `hidden beast` number, since 5 + 40 + 617 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 540617121 - 211 = 540615073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540617141) 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 11 ways as a sum of consecutive naturals, for example, 2730291 + ... + 2730488.

It is an arithmetic number, because the mean of its divisors is an integer number (70990140).

Almost surely, 2540617121 is an apocalyptic number.

It is an amenable number.

540617121 is a deficient number, since it is larger than the sum of its proper divisors (311264559).

540617121 is a wasteful number, since it uses less digits than its factorization.

540617121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460796 (or 5460793 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 540617121 is about 23251.1746154899. The cubic root of 540617121 is about 814.6353750523.

The spelling of 540617121 in words is "five hundred forty million, six hundred seventeen thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 5460779 16382337 49147011 60068569 180205707 540617121