Search a number
-
+
6028704000 = 283253112173
BaseRepresentation
bin1011001110101011…
…01011100100000000
3120120011001220011100
411213111223210000
544321322012000
62434120014400
7302253065334
oct54725534400
916504056140
106028704000
112614056600
121203001400
13751008b97
144129617c4
15254407a00
hex16756b900

6028704000 has 648 divisors, whose sum is σ = 23982239736. Its totient is φ = 1453056000.

The previous prime is 6028703987. The next prime is 6028704023. The reversal of 6028704000 is 4078206.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 6024243456 = 2112^2 + 77616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34847914 + ... + 34848086.

Almost surely, 26028704000 is an apocalyptic number.

6028704000 is a gapful number since it is divisible by the number (60) 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 6028704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11991119868).

6028704000 is an abundant number, since it is smaller than the sum of its proper divisors (17953535736).

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

6028704000 is a wasteful number, since it uses less digits than its factorization.

6028704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6028704000 is about 77644.7293768225. The cubic root of 6028704000 is about 1820.0136858448.

The spelling of 6028704000 in words is "six billion, twenty-eight million, seven hundred four thousand".