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3920000000 = 2105772
BaseRepresentation
bin1110100110100110…
…0111010000000000
3101010012011122002012
43221221213100000
531012010000000
61444551112052
7166066310300
oct35151472000
911105148065
103920000000
111731813024
12914972628
134a6191337
1429288b600
1517e221735
hexe9a67400

3920000000 has 264 divisors, whose sum is σ = 11394404424. Its totient is φ = 1344000000.

The previous prime is 3919999997. The next prime is 3920000011. The reversal of 3920000000 is 293.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 3877801984 + 42198016 = 62272^2 + 6496^2 .

It is a hoax number, since the sum of its digits (14) 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 (14).

It is a self number, because there is not a number n which added to its sum of digits gives 3920000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559999997 + ... + 560000003.

Almost surely, 23920000000 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 3920000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697202212).

3920000000 is an abundant number, since it is smaller than the sum of its proper divisors (7474404424).

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

3920000000 is an frugal number, since it uses more digits than its factorization.

3920000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3920000000 is about 62609.9033699941. The cubic root of 3920000000 is about 1576.7470326210.

Adding to 3920000000 its reverse (293), we get a palindrome (3920000293).

The spelling of 3920000000 in words is "three billion, nine hundred twenty million", and thus it is an aban number.