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540318181 = 13219191881
BaseRepresentation
bin100000001101001…
…001100111100101
31101122201000012111
4200031021213211
52101310140211
6125340521021
716250425444
oct4015114745
91348630174
10540318181
11257aa5057
12130b50171
1387c30700
1451a8cd5b
153267e421
hex203499e5

540318181 has 24 divisors (see below), whose sum is σ = 619799040. Its totient is φ = 469497600.

The previous prime is 540318173. The next prime is 540318197. The reversal of 540318181 is 181813045.

It is not a de Polignac number, because 540318181 - 23 = 540318173 is a prime.

It is a super-2 number, since 2×5403181812 = 583887473438297522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540318151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 612861 + ... + 613741.

It is an arithmetic number, because the mean of its divisors is an integer number (25824960).

Almost surely, 2540318181 is an apocalyptic number.

It is an amenable number.

540318181 is a deficient number, since it is larger than the sum of its proper divisors (79480859).

540318181 is a wasteful number, since it uses less digits than its factorization.

540318181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 540318181 is about 23244.7452341384. The cubic root of 540318181 is about 814.4851935959.

The spelling of 540318181 in words is "five hundred forty million, three hundred eighteen thousand, one hundred eighty-one".

Divisors: 1 13 19 169 191 247 881 2483 3211 3629 11453 16739 32279 47177 148889 168271 217607 613301 2187523 2828891 3197149 28437799 41562937 540318181