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2080790820 = 22325176471051
BaseRepresentation
bin111110000000110…
…0101100100100100
312101000101010101200
41330001211210210
513230140301240
6542250322500
7102364300353
oct17401454444
95330333350
102080790820
11978608a39
124a0a29430
13272123694
1415a4c999a
15c2a20930
hex7c065924

2080790820 has 144 divisors (see below), whose sum is σ = 6699708288. Its totient is φ = 520934400.

The previous prime is 2080790813. The next prime is 2080790843. The reversal of 2080790820 is 280970802.

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

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, 1979295 + ... + 1980345.

It is an arithmetic number, because the mean of its divisors is an integer number (46525752).

Almost surely, 22080790820 is an apocalyptic number.

2080790820 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 2080790820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349854144).

2080790820 is an abundant number, since it is smaller than the sum of its proper divisors (4618917468).

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

2080790820 is a wasteful number, since it uses less digits than its factorization.

2080790820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2080790820 is about 45615.6861178257. The cubic root of 2080790820 is about 1276.6626153010.

The spelling of 2080790820 in words is "two billion, eighty million, seven hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 647 765 1020 1051 1294 1530 1941 2102 2588 3060 3153 3235 3882 4204 5255 5823 6306 6470 7764 9459 9705 10510 10999 11646 12612 12940 15765 17867 18918 19410 21020 21998 23292 29115 31530 32997 35734 37836 38820 43996 47295 53601 54995 58230 63060 65994 71468 89335 94590 98991 107202 109990 116460 131988 160803 164985 178670 189180 197982 214404 219980 268005 321606 329970 357340 395964 494955 536010 643212 659940 679997 804015 989910 1072020 1359994 1608030 1979820 2039991 2719988 3216060 3399985 4079982 6119973 6799970 8159964 10199955 11559949 12239946 13599940 20399910 23119898 24479892 30599865 34679847 40799820 46239796 57799745 61199730 69359694 104039541 115599490 122399460 138719388 173399235 208079082 231198980 346798470 416158164 520197705 693596940 1040395410 2080790820