Search a number
-
+
2760868050 = 2352532691291
BaseRepresentation
bin1010010010001111…
…1000000011010010
321010102001121222020
42210203320003102
521123240234200
61133542552310
7125262663663
oct24443700322
97112047866
102760868050
111197490036
12650738696
1334cca8845
141c295936a
151125a9ea0
hexa48f80d2

2760868050 has 96 divisors (see below), whose sum is σ = 7007497920. Its totient is φ = 719097600.

The previous prime is 2760868049. The next prime is 2760868069. The reversal of 2760868050 is 508680672.

It is a junction number, because it is equal to n+sod(n) for n = 2760867993 and 2760868011.

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 47 ways as a sum of consecutive naturals, for example, 2137905 + ... + 2139195.

It is an arithmetic number, because the mean of its divisors is an integer number (72994770).

Almost surely, 22760868050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2760868050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503748960).

2760868050 is an abundant number, since it is smaller than the sum of its proper divisors (4246629870).

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

2760868050 is a wasteful number, since it uses less digits than its factorization.

2760868050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2760868050 is about 52543.9630214547. The cubic root of 2760868050 is about 1402.8628577428.

The spelling of 2760868050 in words is "two billion, seven hundred sixty million, eight hundred sixty-eight thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 269 318 530 538 795 807 1291 1325 1345 1590 1614 2582 2650 2690 3873 3975 4035 6455 6725 7746 7950 8070 12910 13450 14257 19365 20175 28514 32275 38730 40350 42771 64550 68423 71285 85542 96825 136846 142570 193650 205269 213855 342115 347279 356425 410538 427710 684230 694558 712850 1026345 1041837 1069275 1710575 1736395 2052690 2083674 2138550 3421150 3472790 5131725 5209185 8681975 10263450 10418370 17363950 18405787 26045925 36811574 52091850 55217361 92028935 110434722 184057870 276086805 460144675 552173610 920289350 1380434025 2760868050