Search a number
-
+
7081960380 = 22351115976719
BaseRepresentation
bin1101001100001111…
…00010001110111100
3200021112221212021220
412212013202032330
5104000440213010
63130422553340
7340332445545
oct64607421674
920245855256
107081960380
113004644720
121457898850
1388b2a1701
144b27b34cc
152b6b08970
hex1a61e23bc

7081960380 has 96 divisors (see below), whose sum is σ = 21648936960. Its totient is φ = 1715508480.

The previous prime is 7081960363. The next prime is 7081960387. The reversal of 7081960380 is 830691807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7081960387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050661 + ... + 1057379.

It is an arithmetic number, because the mean of its divisors is an integer number (225509760).

Almost surely, 27081960380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7081960380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10824468480).

7081960380 is an abundant number, since it is smaller than the sum of its proper divisors (14566976580).

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

7081960380 is a wasteful number, since it uses less digits than its factorization.

7081960380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8339 (or 8337 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 7081960380 is about 84154.3841995175. The cubic root of 7081960380 is about 1920.3681639913.

The spelling of 7081960380 in words is "seven billion, eighty-one million, nine hundred sixty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1597 3194 4791 6388 6719 7985 9582 13438 15970 17567 19164 20157 23955 26876 31940 33595 35134 40314 47910 52701 67190 70268 73909 80628 87835 95820 100785 105402 134380 147818 175670 201570 210804 221727 263505 295636 351340 369545 403140 443454 527010 739090 886908 1054020 1108635 1478180 2217270 4434540 10730243 21460486 32190729 42920972 53651215 64381458 107302430 118032673 128762916 160953645 214604860 236065346 321907290 354098019 472130692 590163365 643814580 708196038 1180326730 1416392076 1770490095 2360653460 3540980190 7081960380