Search a number
-
+
3020671680 = 2635131912739
BaseRepresentation
bin1011010000001011…
…1100101011000000
321210111221000112220
42310002330223000
522141242443210
61215423251040
7134566166655
oct26402745300
97714830486
103020671680
1113100aa384
12703749a80
13391a715c0
14209267c2c
1512a2c8c70
hexb40bcac0

3020671680 has 224 divisors, whose sum is σ = 10872825600. Its totient is φ = 704360448.

The previous prime is 3020671669. The next prime is 3020671691. The reversal of 3020671680 is 861760203.

It is an interprime number because it is at equal distance from previous prime (3020671669) and next prime (3020671691).

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 31 ways as a sum of consecutive naturals, for example, 230751 + ... + 243489.

It is an arithmetic number, because the mean of its divisors is an integer number (48539400).

Almost surely, 23020671680 is an apocalyptic number.

3020671680 is a gapful number since it is divisible by the number (30) 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 3020671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436412800).

3020671680 is an abundant number, since it is smaller than the sum of its proper divisors (7852153920).

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

3020671680 is a wasteful number, since it uses less digits than its factorization.

3020671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791 (or 12781 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3020671680 is about 54960.6375508873. The cubic root of 3020671680 is about 1445.5546263955.

The spelling of 3020671680 in words is "three billion, twenty million, six hundred seventy-one thousand, six hundred eighty".