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8000130240 = 26345292367
BaseRepresentation
bin1110111001101100…
…00100110011000000
3202122112122201120000
413130312010303000
5112341013131430
63401502320000
7402151661604
oct73466046300
922575581500
108000130240
113435957293
121673289000
139a658a49b
1455c6dd504
1531c523e60
hex1dcd84cc0

8000130240 has 420 divisors, whose sum is σ = 29553322656. Its totient is φ = 2054191104.

The previous prime is 8000130223. The next prime is 8000130251. The reversal of 8000130240 is 420310008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

8000130240 is a modest number, since divided by 130240 gives 8000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21798537 + ... + 21798903.

Almost surely, 28000130240 is an apocalyptic number.

8000130240 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 8000130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14776661328).

8000130240 is an abundant number, since it is smaller than the sum of its proper divisors (21553192416).

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

8000130240 is a wasteful number, since it uses less digits than its factorization.

8000130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8000130240 is about 89443.4471607619. The cubic root of 8000130240 is about 2000.0108532744.

Adding to 8000130240 its reverse (420310008), we get a palindrome (8420440248).

The spelling of 8000130240 in words is "eight billion, one hundred thirty thousand, two hundred forty".