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2105831520 = 253451329431
BaseRepresentation
bin111110110000100…
…0111000001100000
312102202111022210000
41331201013001200
513303043102040
6544543140000
7103120162332
oct17541070140
95382438700
102105831520
11990761431
124a92a4600
13277380270
1415d967452
15c4d1a130
hex7d847060

2105831520 has 480 divisors, whose sum is σ = 8298702720. Its totient is φ = 499322880.

The previous prime is 2105831477. The next prime is 2105831527. The reversal of 2105831520 is 251385012.

It is a happy number.

2105831520 is a `hidden beast` number, since 2 + 105 + 8 + 31 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105831527) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 4885705 + ... + 4886135.

It is an arithmetic number, because the mean of its divisors is an integer number (17288964).

Almost surely, 22105831520 is an apocalyptic number.

2105831520 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 2105831520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149351360).

2105831520 is an abundant number, since it is smaller than the sum of its proper divisors (6192871200).

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

2105831520 is a wasteful number, since it uses less digits than its factorization.

2105831520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2105831520 is about 45889.3399385958. The cubic root of 2105831520 is about 1281.7634223284.

The spelling of 2105831520 in words is "two billion, one hundred five million, eight hundred thirty-one thousand, five hundred twenty".