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4260130560 = 28325727547
BaseRepresentation
bin1111110111101100…
…0110111100000000
3101222220012001111100
43331323012330000
532211043134220
61542421214400
7210366340500
oct37573067400
911886161440
104260130560
111896807164
129aa861400
1352b7a021a
142c5b09a00
1519e00ad90
hexfdec6f00

4260130560 has 324 divisors, whose sum is σ = 17148346488. Its totient is φ = 973615104.

The previous prime is 4260130549. The next prime is 4260130571. The reversal of 4260130560 is 650310624.

4260130560 is a `hidden beast` number, since 4 + 2 + 601 + 3 + 0 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4260130549) and next prime (4260130571).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 560707 + ... + 568253.

Almost surely, 24260130560 is an apocalyptic number.

4260130560 is a gapful number since it is divisible by the number (40) 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 4260130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8574173244).

4260130560 is an abundant number, since it is smaller than the sum of its proper divisors (12888215928).

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

4260130560 is a wasteful number, since it uses less digits than its factorization.

4260130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7588 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4260130560 is about 65269.6756541658. The cubic root of 4260130560 is about 1621.0919021949.

The spelling of 4260130560 in words is "four billion, two hundred sixty million, one hundred thirty thousand, five hundred sixty".