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5920197840 = 2432519222777
BaseRepresentation
bin1011000001101111…
…10000110011010000
3120021120220012200200
411200313300303100
544111032312330
62415242215200
7266464565004
oct54067606320
916246805620
105920197840
112568885297
1211927b4500
137346a775b
14402398704
15249b22a60
hex160df0cd0

5920197840 has 180 divisors, whose sum is σ = 20984414724. Its totient is φ = 1495563264.

The previous prime is 5920197823. The next prime is 5920197887. The reversal of 5920197840 is 487910295.

5920197840 is a `hidden beast` number, since 592 + 0 + 19 + 7 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3902750784 + 2017447056 = 62472^2 + 44916^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 248532 + ... + 271308.

Almost surely, 25920197840 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 5920197840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10492207362).

5920197840 is an abundant number, since it is smaller than the sum of its proper divisors (15064216884).

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

5920197840 is a wasteful number, since it uses less digits than its factorization.

5920197840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22834 (or 22806 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5920197840 is about 76942.8218874250. The cubic root of 5920197840 is about 1809.0284907786.

The spelling of 5920197840 in words is "five billion, nine hundred twenty million, one hundred ninety-seven thousand, eight hundred forty".