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2123053920 = 25325131947127
BaseRepresentation
bin111111010001011…
…0011101101100000
312110221220022110200
41332202303231200
513322000211140
6550400225200
7103416442401
oct17642635540
95427808420
102123053920
1199a454919
124b300b200
1327ab00330
14161d6b9a8
15c65bd030
hex7e8b3b60

2123053920 has 576 divisors, whose sum is σ = 8453652480. Its totient is φ = 480743424.

The previous prime is 2123053859. The next prime is 2123053951. The reversal of 2123053920 is 293503212.

2123053920 is a `hidden beast` number, since 2 + 123 + 0 + 539 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16716897 + ... + 16717023.

It is an arithmetic number, because the mean of its divisors is an integer number (14676480).

Almost surely, 22123053920 is an apocalyptic number.

2123053920 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 2123053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226826240).

2123053920 is an abundant number, since it is smaller than the sum of its proper divisors (6330598560).

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

2123053920 is a wasteful number, since it uses less digits than its factorization.

2123053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2123053920 is about 46076.6092502476. The cubic root of 2123053920 is about 1285.2482111731.

It can be divided in two parts, 212305 and 3920, that added together give a square (216225 = 4652).

The spelling of 2123053920 in words is "two billion, one hundred twenty-three million, fifty-three thousand, nine hundred twenty".