Search a number
-
+
8082118860 = 22357113913649
BaseRepresentation
bin1111000011011101…
…10101100011001100
3202212020221011210120
413201232311203030
5113023010300420
63413551504540
7404165606514
oct74156654314
922766834716
108082118860
113478166582
121696828150
139ba565a6a
14569562844
1532481bd40
hex1e1bb58cc

8082118860 has 96 divisors (see below), whose sum is σ = 23115456000. Its totient is φ = 2109434880.

The previous prime is 8082118823. The next prime is 8082118897. The reversal of 8082118860 is 688112808.

It is an interprime number because it is at equal distance from previous prime (8082118823) and next prime (8082118897).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585316 + ... + 598964.

It is an arithmetic number, because the mean of its divisors is an integer number (240786000).

Almost surely, 28082118860 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 8082118860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728000).

8082118860 is an abundant number, since it is smaller than the sum of its proper divisors (15033337140).

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

8082118860 is a wasteful number, since it uses less digits than its factorization.

8082118860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13871 (or 13869 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The square root of 8082118860 is about 89900.6054484618. The cubic root of 8082118860 is about 2006.8199559994.

It can be divided in two parts, 80821 and 18860, that added together give a triangular number (99681 = T446).

The spelling of 8082118860 in words is "eight billion, eighty-two million, one hundred eighteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 139 142 213 278 284 355 417 426 556 695 710 834 852 1065 1390 1420 1668 2085 2130 2780 4170 4260 8340 9869 13649 19738 27298 29607 39476 40947 49345 54596 59214 68245 81894 98690 118428 136490 148035 163788 197380 204735 272980 296070 409470 592140 818940 969079 1897211 1938158 2907237 3794422 3876316 4845395 5691633 5814474 7588844 9486055 9690790 11383266 11628948 14536185 18972110 19381580 22766532 28458165 29072370 37944220 56916330 58144740 113832660 134701981 269403962 404105943 538807924 673509905 808211886 1347019810 1616423772 2020529715 2694039620 4041059430 8082118860