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5700237840 = 24335113171109
BaseRepresentation
bin1010100111100001…
…01011101000010000
3112201021000002022000
411103300223220100
543133230102330
62341343514000
7261154136133
oct52360535020
915637002260
105700237840
1124656aa070
121130bb8900
136cac522cb
143c109c21a
15235674560
hex153c2ba10

5700237840 has 640 divisors, whose sum is σ = 22627123200. Its totient is φ = 1306368000.

The previous prime is 5700237833. The next prime is 5700237863. The reversal of 5700237840 is 487320075.

5700237840 is a `hidden beast` number, since 570 + 0 + 2 + 3 + 7 + 84 + 0 = 666.

It is a super-2 number, since 2×57002378402 = 64985422865135731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5700237795 and 5700237804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52295706 + ... + 52295814.

It is an arithmetic number, because the mean of its divisors is an integer number (35354880).

Almost surely, 25700237840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5700237840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313561600).

5700237840 is an abundant number, since it is smaller than the sum of its proper divisors (16926885360).

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

5700237840 is a wasteful number, since it uses less digits than its factorization.

5700237840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5700237840 is about 75499.9194701557. The cubic root of 5700237840 is about 1786.3408328242.

The spelling of 5700237840 in words is "five billion, seven hundred million, two hundred thirty-seven thousand, eight hundred forty".