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2030806440 = 23325132931481
BaseRepresentation
bin111100100001011…
…1010010110101000
312020112022122201100
41321002322112220
513124341301230
6533303121400
7101216366325
oct17102722650
95215278640
102030806440
11952378a33
12488143260
13264972420
141539d7b4c
15bd44a660
hex790ba5a8

2030806440 has 192 divisors, whose sum is σ = 7136897040. Its totient is φ = 497848320.

The previous prime is 2030806429. The next prime is 2030806441. The reversal of 2030806440 is 446080302.

It can be written as a sum of positive squares in 8 ways, for example, as 961124004 + 1069682436 = 31002^2 + 32706^2 .

It is not an unprimeable number, because it can be changed into a prime (2030806441) 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, 1370500 + ... + 1371980.

Almost surely, 22030806440 is an apocalyptic number.

2030806440 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 2030806440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568448520).

2030806440 is an abundant number, since it is smaller than the sum of its proper divisors (5106090600).

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

2030806440 is a wasteful number, since it uses less digits than its factorization.

2030806440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2030806440 is about 45064.4698182504. The cubic root of 2030806440 is about 1266.3570640674.

Adding to 2030806440 its reverse (446080302), we get a palindrome (2476886742).

The spelling of 2030806440 in words is "two billion, thirty million, eight hundred six thousand, four hundred forty".