Search a number
-
+
2030030000 = 2454434721
BaseRepresentation
bin111100011111111…
…1100110010110000
312020110212012122022
41320333330302300
513124141430000
6533234331012
7101206653545
oct17077746260
95213765568
102030030000
11951998649
12487a29a68
1326475cbab
14153874bcc
15bd345585
hex78ffccb0

2030030000 has 100 divisors (see below), whose sum is σ = 5030271048. Its totient is φ = 792960000.

The previous prime is 2030029999. The next prime is 2030030017. The reversal of 2030030000 is 300302.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2030030000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 427640 + ... + 432360.

Almost surely, 22030030000 is an apocalyptic number.

2030030000 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 2030030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515135524).

2030030000 is an abundant number, since it is smaller than the sum of its proper divisors (3000241048).

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

2030030000 is an equidigital number, since it uses as much as digits as its factorization.

2030030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 2030030000 is about 45055.8542256165. The cubic root of 2030030000 is about 1266.1956543609.

Adding to 2030030000 its reverse (300302), we get a palindrome (2030330302).

The spelling of 2030030000 in words is "two billion, thirty million, thirty thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 2000 2150 2500 3440 4300 4721 5000 5375 8600 9442 10000 10750 17200 18884 21500 23605 26875 37768 43000 47210 53750 75536 86000 94420 107500 118025 188840 203003 215000 236050 377680 406006 430000 472100 590125 812012 944200 1015015 1180250 1624024 1888400 2030030 2360500 2950625 3248048 4060060 4721000 5075075 5901250 8120120 9442000 10150150 11802500 16240240 20300300 23605000 25375375 40600600 47210000 50750750 81201200 101501500 126876875 203003000 253753750 406006000 507507500 1015015000 2030030000