Search a number
-
+
2981909580 = 2235136016361
BaseRepresentation
bin1011000110111100…
…0101010001001100
321200210222200221120
42301233011101030
522101332101310
61211520400540
7133615545636
oct26157052114
97623880846
102981909580
1112a0234891
126b2776150
13386a1c350
14204057a56
15126bbdb70
hexb1bc544c

2981909580 has 96 divisors (see below), whose sum is σ = 9007981248. Its totient is φ = 732672000.

The previous prime is 2981909573. The next prime is 2981909597. The reversal of 2981909580 is 859091892.

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, 465600 + ... + 471960.

It is an arithmetic number, because the mean of its divisors is an integer number (93833138).

Almost surely, 22981909580 is an apocalyptic number.

2981909580 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 2981909580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503990624).

2981909580 is an abundant number, since it is smaller than the sum of its proper divisors (6026071668).

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

2981909580 is a wasteful number, since it uses less digits than its factorization.

2981909580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The square root of 2981909580 is about 54606.8638542812. The cubic root of 2981909580 is about 1439.3447346630.

The spelling of 2981909580 in words is "two billion, nine hundred eighty-one million, nine hundred nine thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 601 780 1202 1803 2404 3005 3606 6010 6361 7212 7813 9015 12020 12722 15626 18030 19083 23439 25444 31252 31805 36060 38166 39065 46878 63610 76332 78130 82693 93756 95415 117195 127220 156260 165386 190830 234390 248079 330772 381660 413465 468780 496158 826930 992316 1240395 1653860 2480790 3822961 4961580 7645922 11468883 15291844 19114805 22937766 38229610 45875532 49698493 57344415 76459220 99396986 114688830 149095479 198793972 229377660 248492465 298190958 496984930 596381916 745477395 993969860 1490954790 2981909580