Search a number
-
+
11330020 = 2251343577
BaseRepresentation
bin101011001110…
…000111100100
3210022121212101
4223032013210
510400030040
61042501444
7165206062
oct53160744
923277771
1011330020
116439459
123964884
132469070
14170d032
15edc09a
hexace1e4

11330020 has 24 divisors (see below), whose sum is σ = 25623864. Its totient is φ = 4183296.

The previous prime is 11330009. The next prime is 11330021. The reversal of 11330020 is 2003311.

11330020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 11329956 = 8^2 + 3366^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11329979 and 11330006.

It is not an unprimeable number, because it can be changed into a prime (11330021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21529 + ... + 22048.

It is an arithmetic number, because the mean of its divisors is an integer number (1067661).

Almost surely, 211330020 is an apocalyptic number.

11330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11330020 is an abundant number, since it is smaller than the sum of its proper divisors (14293844).

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

11330020 is a wasteful number, since it uses less digits than its factorization.

11330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43599 (or 43597 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 11330020 is about 3366.0095068196. The cubic root of 11330020 is about 224.6002449126.

Adding to 11330020 its reverse (2003311), we get a palindrome (13333331).

The spelling of 11330020 in words is "eleven million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 43577 87154 174308 217885 435770 566501 871540 1133002 2266004 2832505 5665010 11330020