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2093048320 = 29511229233
BaseRepresentation
bin111110011000001…
…0110001000000000
312101212102212112011
41330300112020000
513241310021240
6543405142304
7102603421456
oct17460261000
95355385464
102093048320
11984520200
124a4b5a994
1327482593c
1415bd9a9d6
15c3b426ea
hex7cc16200

2093048320 has 240 divisors, whose sum is σ = 5730805080. Its totient is φ = 731709440.

The previous prime is 2093048317. The next prime is 2093048327. The reversal of 2093048320 is 238403902.

It can be written as a sum of positive squares in 4 ways, for example, as 1405350144 + 687698176 = 37488^2 + 26224^2 .

It is not an unprimeable number, because it can be changed into a prime (2093048327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8982924 + ... + 8983156.

Almost surely, 22093048320 is an apocalyptic number.

2093048320 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 2093048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865402540).

2093048320 is an abundant number, since it is smaller than the sum of its proper divisors (3637756760).

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

2093048320 is a wasteful number, since it uses less digits than its factorization.

2093048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2093048320 is about 45749.8450270599. The cubic root of 2093048320 is about 1279.1645590028.

The spelling of 2093048320 in words is "two billion, ninety-three million, forty-eight thousand, three hundred twenty".