Search a number
-
+
6730262784 = 28347199233
BaseRepresentation
bin1100100010010011…
…11010100100000000
3122101001011202220000
412101021322210000
5102240421402114
63031500520000
7325532201250
oct62111724400
918331152800
106730262784
112944070053
121379b50000
1383347291b
1447bbc3960
15295cd6e09
hex19127a900

6730262784 has 360 divisors, whose sum is σ = 23149526400. Its totient is φ = 1905057792.

The previous prime is 6730262767. The next prime is 6730262789. The reversal of 6730262784 is 4872620376.

It is not an unprimeable number, because it can be changed into a prime (6730262789) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28885132 + ... + 28885364.

It is an arithmetic number, because the mean of its divisors is an integer number (64304240).

Almost surely, 26730262784 is an apocalyptic number.

6730262784 is a gapful number since it is divisible by the number (64) 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 6730262784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574763200).

6730262784 is an abundant number, since it is smaller than the sum of its proper divisors (16419263616).

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

6730262784 is a wasteful number, since it uses less digits than its factorization.

6730262784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 6730262784 is about 82038.1788193765. The cubic root of 6730262784 is about 1888.0377518066.

The spelling of 6730262784 in words is "six billion, seven hundred thirty million, two hundred sixty-two thousand, seven hundred eighty-four".