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2085321660 = 2235179912063
BaseRepresentation
bin111110001001011…
…0111101110111100
312101022220022112120
41330102313232330
513232320243120
6542531402540
7102450640662
oct17422675674
95338808476
102085321660
11980123034
124a2453450
1327304ba56
1415ad48c32
15c3118140
hex7c4b7bbc

2085321660 has 96 divisors (see below), whose sum is σ = 6191603712. Its totient is φ = 522593280.

The previous prime is 2085321629. The next prime is 2085321697. The reversal of 2085321660 is 661235802.

It is a congruent number.

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, 1009789 + ... + 1011851.

It is an arithmetic number, because the mean of its divisors is an integer number (64495872).

Almost surely, 22085321660 is an apocalyptic number.

2085321660 is a gapful number since it is divisible by the number (20) 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 2085321660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095801856).

2085321660 is an abundant number, since it is smaller than the sum of its proper divisors (4106282052).

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

2085321660 is a wasteful number, since it uses less digits than its factorization.

2085321660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2085321660 is about 45665.3222916471. The cubic root of 2085321660 is about 1277.5885710577.

The spelling of 2085321660 in words is "two billion, eighty-five million, three hundred twenty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 991 1020 1982 2063 2973 3964 4126 4955 5946 6189 8252 9910 10315 11892 12378 14865 16847 19820 20630 24756 29730 30945 33694 35071 41260 50541 59460 61890 67388 70142 84235 101082 105213 123780 140284 168470 175355 202164 210426 252705 336940 350710 420852 505410 526065 701420 1010820 1052130 2044433 2104260 4088866 6133299 8177732 10222165 12266598 20444330 24533196 30666495 34755361 40888660 61332990 69510722 104266083 122665980 139021444 173776805 208532166 347553610 417064332 521330415 695107220 1042660830 2085321660