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2081048760 = 23345791757
BaseRepresentation
bin111110000001010…
…0100100010111000
312101000212020020000
41330002210202320
513230222030020
6542300033000
7102366423360
oct17402444270
95330766200
102081048760
1197877480a
124a0b32760
132721b3bcb
1415a5559a0
15c2a72090
hex7c0a48b8

2081048760 has 160 divisors (see below), whose sum is σ = 7993956960. Its totient is φ = 475663104.

The previous prime is 2081048759. The next prime is 2081048807. The reversal of 2081048760 is 678401802.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 23199 + ... + 68558.

It is an arithmetic number, because the mean of its divisors is an integer number (49962231).

Almost surely, 22081048760 is an apocalyptic number.

2081048760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2081048760 is an abundant number, since it is smaller than the sum of its proper divisors (5912908200).

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

2081048760 is a wasteful number, since it uses less digits than its factorization.

2081048760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91787 (or 91774 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2081048760 is about 45618.5133471050. The cubic root of 2081048760 is about 1276.7153658780.

The spelling of 2081048760 in words is "two billion, eighty-one million, forty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 91757 183514 275271 367028 458785 550542 642299 734056 825813 917570 1101084 1284598 1376355 1651626 1835140 1926897 2202168 2477439 2569196 2752710 3211495 3303252 3670280 3853794 4129065 4954878 5138392 5505420 5780691 6422990 6606504 7432317 7707588 8258130 9634485 9909756 11010840 11561382 12387195 12845980 14864634 15415176 16516260 17342073 19268970 19819512 23122764 24774390 25691960 28903455 29729268 33032520 34684146 37161585 38537940 46245528 49548780 52026219 57806910 59458536 69368292 74323170 77075880 86710365 99097560 104052438 115613820 138736584 148646340 173420730 208104876 231227640 260131095 297292680 346841460 416209752 520262190 693682920 1040524380 2081048760