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2043130320 = 24325711137269
BaseRepresentation
bin111100111000111…
…1011000111010000
312021101111202220100
41321301323013100
513141020132240
6534423212400
7101426215110
oct17161730720
95241452810
102043130320
11959326060
124902a7100
1326739896a
141554c5040
15be581e30
hex79c7b1d0

2043130320 has 480 divisors, whose sum is σ = 8649089280. Its totient is φ = 419880960.

The previous prime is 2043130291. The next prime is 2043130339. The reversal of 2043130320 is 230313402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2043130293 and 2043130302.

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, 7595146 + ... + 7595414.

It is an arithmetic number, because the mean of its divisors is an integer number (18018936).

Almost surely, 22043130320 is an apocalyptic number.

2043130320 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 2043130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324544640).

2043130320 is an abundant number, since it is smaller than the sum of its proper divisors (6605958960).

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

2043130320 is a wasteful number, since it uses less digits than its factorization.

2043130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2043130320 is about 45200.9991040021. Note that the first 3 decimals coincide. The cubic root of 2043130320 is about 1268.9135147389.

Adding to 2043130320 its reverse (230313402), we get a palindrome (2273443722).

The spelling of 2043130320 in words is "two billion, forty-three million, one hundred thirty thousand, three hundred twenty".