13824150 has 48 divisors (see below), whose sum is σ = 35783424. Its totient is φ = 3525280.

The previous prime is 13824121. The next prime is 13824169. The reversal of 13824150 is 5142831.

13824150 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13824150² = 382214246445000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13824150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1447 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (745488).

Almost surely, 2^13824150 is an apocalyptic number.

13824150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13824150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17891712).

13824150 is an abundant number, since it is smaller than the sum of its proper divisors (21959274).

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

13824150 is a wasteful number, since it uses less digits than its factorization.

13824150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13824150 is about 3718.0841840927. The cubic root of 13824150 is about 240.0008680524. Note that the first 3 decimals are identical.

Adding to 13824150 its reverse (5142831), we get a palindrome (18966981).

It can be divided in two parts, 13824 and 150, that multiplied together give a square (2073600 = 1440²).

The spelling of 13824150 in words is "thirteen million, eight hundred twenty-four thousand, one hundred fifty".