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540407112 = 233729110921
BaseRepresentation
bin100000001101011…
…111010101001000
31101122212112012020
4200031133111020
52101321011422
6125342444440
716251245640
oct4015372510
91348775166
10540407112
11258055953
12130b93720
1387c6202b
1451ab3520
153269a95c
hex2035f548

540407112 has 64 divisors (see below), whose sum is σ = 1597276800. Its totient is φ = 149076480.

The previous prime is 540407099. The next prime is 540407123. The reversal of 540407112 is 211704045.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 50589 + ... + 60332.

It is an arithmetic number, because the mean of its divisors is an integer number (24957450).

Almost surely, 2540407112 is an apocalyptic number.

It is an amenable number.

540407112 is an abundant number, since it is smaller than the sum of its proper divisors (1056869688).

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

540407112 is a wasteful number, since it uses less digits than its factorization.

540407112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110966 (or 110962 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 540407112 is about 23246.6580823997. The cubic root of 540407112 is about 814.5298765326.

The spelling of 540407112 in words is "five hundred forty million, four hundred seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 110921 221842 332763 443684 665526 776447 887368 1331052 1552894 2329341 2662104 3105788 3216709 4658682 6211576 6433418 9317364 9650127 12866836 18634728 19300254 22516963 25733672 38600508 45033926 67550889 77201016 90067852 135101778 180135704 270203556 540407112