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6505980 = 22351319439
BaseRepresentation
bin11000110100010111111100
3110020112112020
4120310113330
53131142410
6351240140
7106204605
oct30642774
913215466
106505980
113744048
122219050
13146a3c0
14c14dac
15887a70
hex6345fc

6505980 has 96 divisors (see below), whose sum is σ = 20697600. Its totient is φ = 1513728.

The previous prime is 6505973. The next prime is 6505991. The reversal of 6505980 is 895056.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14601 + ... + 15039.

It is an arithmetic number, because the mean of its divisors is an integer number (215600).

Almost surely, 26505980 is an apocalyptic number.

6505980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6505980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10348800).

6505980 is an abundant number, since it is smaller than the sum of its proper divisors (14191620).

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

6505980 is a wasteful number, since it uses less digits than its factorization.

6505980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 6505980 is about 2550.6822616704. The cubic root of 6505980 is about 186.6827721365.

The spelling of 6505980 in words is "six million, five hundred five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 439 494 570 741 780 878 988 1140 1235 1317 1482 1756 2195 2470 2634 2964 3705 4390 4940 5268 5707 6585 7410 8341 8780 11414 13170 14820 16682 17121 22828 25023 26340 28535 33364 34242 41705 50046 57070 68484 83410 85605 100092 108433 114140 125115 166820 171210 216866 250230 325299 342420 433732 500460 542165 650598 1084330 1301196 1626495 2168660 3252990 6505980