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2005670520 = 2332575315017
BaseRepresentation
bin111011110001100…
…0001101001111000
312011210000121201100
41313203001221320
513101422424040
6531004251400
7100462626630
oct16743015170
95153017640
102005670520
1193a16aa47
1247b840b60
1325c6b13b9
141505336c0
15bb132b30
hex778c1a78

2005670520 has 192 divisors, whose sum is σ = 7590697920. Its totient is φ = 449759232.

The previous prime is 2005670497. The next prime is 2005670521. The reversal of 2005670520 is 250765002.

2005670520 is a `hidden beast` number, since 20 + 0 + 56 + 70 + 520 = 666.

2005670520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005670521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126052 + ... + 141068.

It is an arithmetic number, because the mean of its divisors is an integer number (39534885).

Almost surely, 22005670520 is an apocalyptic number.

2005670520 is a gapful number since it is divisible by the number (20) 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 2005670520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795348960).

2005670520 is an abundant number, since it is smaller than the sum of its proper divisors (5585027400).

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

2005670520 is a wasteful number, since it uses less digits than its factorization.

2005670520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15094 (or 15087 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2005670520 is about 44784.7130168320. The cubic root of 2005670520 is about 1261.1106609020.

The spelling of 2005670520 in words is "two billion, five million, six hundred seventy thousand, five hundred twenty".