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5865940080 = 24335711132713
BaseRepresentation
bin1010111011010001…
…10010010001110000
3120010210210122001000
411131220302101300
544003140040310
62410023242000
7265235445060
oct53550622160
916123718030
105865940080
112540196670
1211785a9300
1372638b380
143d90b33a0
15244ea64c0
hex15da32470

5865940080 has 640 divisors, whose sum is σ = 27138263040. Its totient is φ = 1124720640.

The previous prime is 5865940057. The next prime is 5865940103. The reversal of 5865940080 is 800495685.

5865940080 is a `hidden beast` number, since 58 + 6 + 594 + 0 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5865940057) and next prime (5865940103).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2160804 + ... + 2163516.

It is an arithmetic number, because the mean of its divisors is an integer number (42403536).

Almost surely, 25865940080 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 5865940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569131520).

5865940080 is an abundant number, since it is smaller than the sum of its proper divisors (21272322960).

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

5865940080 is a wasteful number, since it uses less digits than its factorization.

5865940080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5865940080 is about 76589.4253797481. The cubic root of 5865940080 is about 1803.4850259753.

The spelling of 5865940080 in words is "five billion, eight hundred sixty-five million, nine hundred forty thousand, eighty".