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6540992160 = 253519317057
BaseRepresentation
bin1100001011101111…
…11001111010100000
3121212212000211101220
412011313321322200
5101343443222120
63001020055040
7321043341663
oct60567717240
917785024356
106540992160
11285724624a
121326694480
138031a4181
144609d56da
1528439bb40
hex185df9ea0

6540992160 has 96 divisors (see below), whose sum is σ = 20617716672. Its totient is φ = 1743114240.

The previous prime is 6540992153. The next prime is 6540992197. The reversal of 6540992160 is 612990456.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 923352 + ... + 930408.

It is an arithmetic number, because the mean of its divisors is an integer number (214767882).

Almost surely, 26540992160 is an apocalyptic number.

6540992160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6540992160 is an abundant number, since it is smaller than the sum of its proper divisors (14076724512).

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

6540992160 is a wasteful number, since it uses less digits than its factorization.

6540992160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9006 (or 8998 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 6540992160 is about 80876.4005133760. The cubic root of 6540992160 is about 1870.1705316948.

The spelling of 6540992160 in words is "six billion, five hundred forty million, nine hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1931 3862 5793 7057 7724 9655 11586 14114 15448 19310 21171 23172 28228 28965 30896 35285 38620 42342 46344 56456 57930 61792 70570 77240 84684 92688 105855 112912 115860 141140 154480 169368 185376 211710 225824 231720 282280 308960 338736 423420 463440 564560 677472 846840 926880 1129120 1693680 3387360 13627067 27254134 40881201 54508268 68135335 81762402 109016536 136270670 163524804 204406005 218033072 272541340 327049608 408812010 436066144 545082680 654099216 817624020 1090165360 1308198432 1635248040 2180330720 3270496080 6540992160