Search a number
-
+
2039808000 = 21635383
BaseRepresentation
bin111100110010101…
…0000000000000000
312021011020222112110
41321211100000000
513134142324000
6534224055320
7101356040046
oct17145200000
95234228473
102039808000
11957466a3a
1248b164540
132667a46a9
14154c9c396
15be127850
hex79950000

2039808000 has 272 divisors, whose sum is σ = 6870217536. Its totient is φ = 537395200.

The previous prime is 2039807981. The next prime is 2039808011. The reversal of 2039808000 is 8089302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24575959 + ... + 24576041.

Almost surely, 22039808000 is an apocalyptic number.

2039808000 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 2039808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435108768).

2039808000 is an abundant number, since it is smaller than the sum of its proper divisors (4830409536).

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

2039808000 is an frugal number, since it uses more digits than its factorization.

2039808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2039808000 is about 45164.2336368060. The cubic root of 2039808000 is about 1268.2253511184.

The spelling of 2039808000 in words is "two billion, thirty-nine million, eight hundred eight thousand".