Search a number
-
+
2004130420 = 225100206521
BaseRepresentation
bin111011101110100…
…1001101001110100
312011200010101002121
41313131021221310
513101024133140
6530511245324
7100443553555
oct16735115164
95150111077
102004130420
11939308936
1247b219844
1325c2923b6
1415025232c
15bae2b64a
hex77749a74

2004130420 has 12 divisors (see below), whose sum is σ = 4208673924. Its totient is φ = 801652160.

The previous prime is 2004130411. The next prime is 2004130441. The reversal of 2004130420 is 240314002.

It can be written as a sum of positive squares in 2 ways, for example, as 923430544 + 1080699876 = 30388^2 + 32874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2004130394 and 2004130403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50103241 + ... + 50103280.

It is an arithmetic number, because the mean of its divisors is an integer number (350722827).

Almost surely, 22004130420 is an apocalyptic number.

2004130420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004130420 is an abundant number, since it is smaller than the sum of its proper divisors (2204543504).

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

2004130420 is a wasteful number, since it uses less digits than its factorization.

2004130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100206530 (or 100206528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2004130420 is about 44767.5152314711. The cubic root of 2004130420 is about 1260.7877873540.

Adding to 2004130420 its reverse (240314002), we get a palindrome (2244444422).

The spelling of 2004130420 in words is "two billion, four million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 100206521 200413042 400826084 501032605 1002065210 2004130420