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5890199040 = 293351161127
BaseRepresentation
bin1010111110001010…
…10100111000000000
3120012111110010002000
411133011110320000
544030342332130
62412251224000
7265651602645
oct53705247000
916174403060
105890199040
1125529557a0
121184748000
1372b40319b
143dc3c9dcc
15247199260
hex15f154e00

5890199040 has 640 divisors, whose sum is σ = 23381360640. Its totient is φ = 1393459200.

The previous prime is 5890199033. The next prime is 5890199041. The reversal of 5890199040 is 409910985.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5890199041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46379457 + ... + 46379583.

It is an arithmetic number, because the mean of its divisors is an integer number (36533376).

Almost surely, 25890199040 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 5890199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11690680320).

5890199040 is an abundant number, since it is smaller than the sum of its proper divisors (17491161600).

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

5890199040 is a wasteful number, since it uses less digits than its factorization.

5890199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 5890199040 is about 76747.6321458845. The cubic root of 5890199040 is about 1805.9677481244.

The spelling of 5890199040 in words is "five billion, eight hundred ninety million, one hundred ninety-nine thousand, forty".