Search a number
-
+
2904760820 = 2251311172157
BaseRepresentation
bin1010110100100011…
…0010000111110100
321111102211010202002
42231020302013310
521422104321240
61200123034432
7131661026303
oct25510620764
97442733662
102904760820
111260730885
1269096ba18
13373a499b0
141d7ad443a
1512002ed15
hexad2321f4

2904760820 has 24 divisors (see below), whose sum is σ = 6569228904. Its totient is φ = 1072526976.

The previous prime is 2904760801. The next prime is 2904760841. The reversal of 2904760820 is 280674092.

It can be written as a sum of positive squares in 4 ways, for example, as 2137444 + 2902623376 = 1462^2 + 53876^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5585819 + ... + 5586338.

It is an arithmetic number, because the mean of its divisors is an integer number (273717871).

Almost surely, 22904760820 is an apocalyptic number.

2904760820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2904760820 is an abundant number, since it is smaller than the sum of its proper divisors (3664468084).

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

2904760820 is a wasteful number, since it uses less digits than its factorization.

2904760820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11172179 (or 11172177 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 2904760820 is about 53895.8330485762. The cubic root of 2904760820 is about 1426.8230808166.

The spelling of 2904760820 in words is "two billion, nine hundred four million, seven hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 11172157 22344314 44688628 55860785 111721570 145238041 223443140 290476082 580952164 726190205 1452380410 2904760820