Search a number
-
+
2080091580 = 2235731315823
BaseRepresentation
bin111101111111011…
…1010110110111100
312100222001121012220
41323332322312330
513230000412310
6542223325340
7102355325640
oct17376726674
95328047186
102080091580
11978180656
124a0750850
13271c3a328
1415a386c20
15c2933670
hex7bfbadbc

2080091580 has 96 divisors (see below), whose sum is σ = 6677981184. Its totient is φ = 473900544.

The previous prime is 2080091513. The next prime is 2080091603. The reversal of 2080091580 is 851900802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123549 + ... + 139371.

It is an arithmetic number, because the mean of its divisors is an integer number (69562304).

Almost surely, 22080091580 is an apocalyptic number.

2080091580 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 2080091580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338990592).

2080091580 is an abundant number, since it is smaller than the sum of its proper divisors (4597889604).

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

2080091580 is a wasteful number, since it uses less digits than its factorization.

2080091580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16155 (or 16153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 2080091580 is about 45608.0210050820. The cubic root of 2080091580 is about 1276.5195937837.

The spelling of 2080091580 in words is "two billion, eighty million, ninety-one thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 313 420 626 939 1252 1565 1878 2191 3130 3756 4382 4695 6260 6573 8764 9390 10955 13146 15823 18780 21910 26292 31646 32865 43820 47469 63292 65730 79115 94938 110761 131460 158230 189876 221522 237345 316460 332283 443044 474690 553805 664566 949380 1107610 1329132 1661415 2215220 3322830 4952599 6645660 9905198 14857797 19810396 24762995 29715594 34668193 49525990 59431188 69336386 74288985 99051980 104004579 138672772 148577970 173340965 208009158 297155940 346681930 416018316 520022895 693363860 1040045790 2080091580