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4303987920 = 24335171931199
BaseRepresentation
bin1000000001000100…
…11010010011010000
3102002221201020111000
410000202122103100
532303310103140
61551025222000
7211441202511
oct40042322320
912087636430
104303987920
111909541911
12a01491900
135378b771b
142cb884a08
151a2cc0a30
hex10089a4d0

4303987920 has 640 divisors, whose sum is σ = 17141760000. Its totient is φ = 985374720.

The previous prime is 4303987867. The next prime is 4303987927. The reversal of 4303987920 is 297893034.

It is a happy number.

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 (4303987927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21627981 + ... + 21628179.

It is an arithmetic number, because the mean of its divisors is an integer number (26784000).

Almost surely, 24303987920 is an apocalyptic number.

4303987920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4303987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880000).

4303987920 is an abundant number, since it is smaller than the sum of its proper divisors (12837772080).

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

4303987920 is a wasteful number, since it uses less digits than its factorization.

4303987920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4303987920 is about 65604.7858010374. The cubic root of 4303987920 is about 1626.6358809755.

The spelling of 4303987920 in words is "four billion, three hundred three million, nine hundred eighty-seven thousand, nine hundred twenty".