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5682460080 = 2435112195677
BaseRepresentation
bin1010100101011001…
…10111010110110000
3112200000112212210110
411102230313112300
543114202210310
62335510501320
7260550054003
oct52254672660
915600485713
105682460080
112456667400
121127064840
136c736951b
143bc99153a
15233d11d20
hex152b375b0

5682460080 has 120 divisors (see below), whose sum is σ = 19362729456. Its totient is φ = 1377559040.

The previous prime is 5682460061. The next prime is 5682460123. The reversal of 5682460080 is 800642865.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68799 + ... + 126878.

Almost surely, 25682460080 is an apocalyptic number.

It is an amenable number.

5682460080 is an abundant number, since it is smaller than the sum of its proper divisors (13680269376).

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

5682460080 is a wasteful number, since it uses less digits than its factorization.

5682460080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195715 (or 195698 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 5682460080 is about 75382.0938950358. The cubic root of 5682460080 is about 1784.4818337627.

The spelling of 5682460080 in words is "five billion, six hundred eighty-two million, four hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 195677 391354 587031 782708 978385 1174062 1565416 1956770 2152447 2348124 2935155 3130832 3913540 4304894 4696248 5870310 6457341 7827080 8609788 9392496 10762235 11740620 12914682 15654160 17219576 21524470 23481240 23676917 25829364 32286705 34439152 43048940 46962480 47353834 51658728 64573410 71030751 86097880 94707668 103317456 118384585 129146820 142061502 172195760 189415336 236769170 258293640 284123004 355153755 378830672 473538340 516587280 568246008 710307510 947076680 1136492016 1420615020 1894153360 2841230040 5682460080