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540660141 = 32761269523
BaseRepresentation
bin100000001110011…
…101000110101101
31101200100101021200
4200032131012231
52101402111031
6125352120113
716253351430
oct4016350655
91350311250
10540660141
11258208a6a
12131096039
1388020258
1451b3b817
15326ea8e6
hex2039d1ad

540660141 has 48 divisors (see below), whose sum is σ = 912263040. Its totient is φ = 302175360.

The previous prime is 540660097. The next prime is 540660151. The reversal of 540660141 is 141066045.

540660141 is a `hidden beast` number, since 54 + 0 + 6 + 601 + 4 + 1 = 666.

It is not a de Polignac number, because 540660141 - 26 = 540660077 is a prime.

It is a super-2 number, since 2×5406601412 = 584626776132279762, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540660151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033506 + ... + 1034028.

It is an arithmetic number, because the mean of its divisors is an integer number (19005480).

Almost surely, 2540660141 is an apocalyptic number.

It is an amenable number.

540660141 is a deficient number, since it is larger than the sum of its proper divisors (371602899).

540660141 is a wasteful number, since it uses less digits than its factorization.

540660141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 540660141 is about 23252.0997116389. The cubic root of 540660141 is about 814.6569828797.

The spelling of 540660141 in words is "five hundred forty million, six hundred sixty thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 61 63 183 269 427 523 549 807 1281 1569 1883 2421 3661 3843 4707 5649 10983 16409 16947 31903 32949 49227 95709 114863 140687 147681 223321 287127 344589 422061 669963 984809 1033767 1266183 2009889 2954427 8581907 8863281 25745721 60073349 77237163 180220047 540660141