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5819340240 = 2433572411597
BaseRepresentation
bin1010110101101110…
…00001010111010000
3120000120010010002000
411122313001113100
543404222341430
62401240354000
7264131401350
oct53267012720
916016103060
105819340240
1125169584aa
121164a75900
137198237bc
143d2c22b60
15240d4de60
hex15adc15d0

5819340240 has 320 divisors, whose sum is σ = 23017336320. Its totient is φ = 1323786240.

The previous prime is 5819340217. The next prime is 5819340253. The reversal of 5819340240 is 420439185.

5819340240 is a `hidden beast` number, since 581 + 9 + 34 + 0 + 2 + 40 = 666.

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 = 5819340195 and 5819340204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3643122 + ... + 3644718.

It is an arithmetic number, because the mean of its divisors is an integer number (71929176).

Almost surely, 25819340240 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 5819340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11508668160).

5819340240 is an abundant number, since it is smaller than the sum of its proper divisors (17197996080).

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

5819340240 is a wasteful number, since it uses less digits than its factorization.

5819340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5819340240 is about 76284.6002807906. The cubic root of 5819340240 is about 1798.6966119943.

The spelling of 5819340240 in words is "five billion, eight hundred nineteen million, three hundred forty thousand, two hundred forty".