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8040130560 = 2113257112103
BaseRepresentation
bin1110111110011101…
…01010100000000000
3202202022220221200100
413133032222200000
5112431233134220
63405451522400
7403145660610
oct73716524000
922668827610
108040130560
113456498100
121684759400
139b1954207
14563b52a40
15320cc5d90
hex1df3aa800

8040130560 has 864 divisors, whose sum is σ = 35344632960. Its totient is φ = 1654456320.

The previous prime is 8040130547. The next prime is 8040130577. The reversal of 8040130560 is 650310408.

It is a congruent number.

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, 78059469 + ... + 78059571.

It is an arithmetic number, because the mean of its divisors is an integer number (40908140).

Almost surely, 28040130560 is an apocalyptic number.

8040130560 is a gapful number since it is divisible by the number (80) 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 8040130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17672316480).

8040130560 is an abundant number, since it is smaller than the sum of its proper divisors (27304502400).

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

8040130560 is a wasteful number, since it uses less digits than its factorization.

8040130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8040130560 is about 89666.7751176544. The cubic root of 8040130560 is about 2003.3386369837.

Adding to 8040130560 its reverse (650310408), we get a palindrome (8690440968).

The spelling of 8040130560 in words is "eight billion, forty million, one hundred thirty thousand, five hundred sixty".