Search a number
-
+
11823820 = 2255691039
BaseRepresentation
bin101101000110…
…101011001100
3211020201020021
4231012223030
511011330240
61101231524
7202333531
oct55065314
924221207
1011823820
116746458
123b625a4
1325aca58
1417dad88
15108854a
hexb46acc

11823820 has 24 divisors (see below), whose sum is σ = 24897600. Its totient is φ = 4716672.

The previous prime is 11823811. The next prime is 11823829. The reversal of 11823820 is 2832811.

11823820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11823811) and next prime (11823829).

It is not an unprimeable number, because it can be changed into a prime (11823829) 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, 10861 + ... + 11899.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 211823820 is an apocalyptic number.

11823820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11823820 is an abundant number, since it is smaller than the sum of its proper divisors (13073780).

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

11823820 is a wasteful number, since it uses less digits than its factorization.

11823820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 11823820 is about 3438.5781945449. The cubic root of 11823820 is about 227.8168992667.

The spelling of 11823820 in words is "eleven million, eight hundred twenty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 569 1039 1138 2078 2276 2845 4156 5195 5690 10390 11380 20780 591191 1182382 2364764 2955955 5911910 11823820