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540686080 = 2851123491
BaseRepresentation
bin100000001110100…
…011011100000000
31101200101200212101
4200032203130000
52101403423310
6125352440144
716253520154
oct4016433400
91350350771
10540686080
11258226500
121310a9054
138802bcbc
1451b47064
153270343a
hex203a3700

540686080 has 108 divisors (see below), whose sum is σ = 1423960776. Its totient is φ = 196556800.

The previous prime is 540686057. The next prime is 540686119. The reversal of 540686080 is 80686045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153135 + ... + 156625.

It is an arithmetic number, because the mean of its divisors is an integer number (13184822).

Almost surely, 2540686080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711980388).

540686080 is an abundant number, since it is smaller than the sum of its proper divisors (883274696).

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

540686080 is a wasteful number, since it uses less digits than its factorization.

540686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 540686080 is about 23252.6574825330. The cubic root of 540686080 is about 814.6700108110.

The spelling of 540686080 in words is "five hundred forty million, six hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 605 640 704 880 968 1210 1280 1408 1760 1936 2420 2816 3491 3520 3872 4840 6982 7040 7744 9680 13964 14080 15488 17455 19360 27928 30976 34910 38401 38720 55856 69820 76802 77440 111712 139640 153604 154880 192005 223424 279280 307208 384010 422411 446848 558560 614416 768020 844822 893696 1117120 1228832 1536040 1689644 2112055 2234240 2457664 3072080 3379288 4224110 4468480 4915328 6144160 6758576 8448220 9830656 12288320 13517152 16896440 24576640 27034304 33792880 49153280 54068608 67585760 108137216 135171520 270343040 540686080