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540947560 = 235109312373
BaseRepresentation
bin100000001111100…
…011010001101000
31101200212222112211
4200033203101220
52101440310220
6125402214504
716255656406
oct4017432150
91350788484
10540947560
112583949aa
121311b4434
13880c101a
1451bb4476
1532755b5a
hex203e3468

540947560 has 32 divisors (see below), whose sum is σ = 1218344040. Its totient is φ = 216163584.

The previous prime is 540947549. The next prime is 540947579. The reversal of 540947560 is 65749045.

It can be written as a sum of positive squares in 4 ways, for example, as 532409476 + 8538084 = 23074^2 + 2922^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37534 + ... + 49906.

Almost surely, 2540947560 is an apocalyptic number.

It is an amenable number.

540947560 is an abundant number, since it is smaller than the sum of its proper divisors (677396480).

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

540947560 is a wasteful number, since it uses less digits than its factorization.

540947560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13477 (or 13473 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 540947560 is about 23258.2793860595. The cubic root of 540947560 is about 814.8013165675.

The spelling of 540947560 in words is "five hundred forty million, nine hundred forty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1093 2186 4372 5465 8744 10930 12373 21860 24746 43720 49492 61865 98984 123730 247460 494920 13523689 27047378 54094756 67618445 108189512 135236890 270473780 540947560