Search a number
-
+
13224042 = 23213311823
BaseRepresentation
bin110010011100…
…100001101010
3220212211222100
4302130201222
511341132132
61151234230
7220255026
oct62344152
926784870
1013224042
117512467
124518976
1329801a0
141a83386
15126337c
hexc9c86a

13224042 has 48 divisors (see below), whose sum is σ = 31868928. Its totient is φ = 3935520.

The previous prime is 13224037. The next prime is 13224077. The reversal of 13224042 is 24042231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6343 + ... + 8165.

It is an arithmetic number, because the mean of its divisors is an integer number (663936).

Almost surely, 213224042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13224042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934464).

13224042 is an abundant number, since it is smaller than the sum of its proper divisors (18644886).

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

13224042 is a wasteful number, since it uses less digits than its factorization.

13224042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13224042 is about 3636.4875910692. The cubic root of 13224042 is about 236.4765459386.

Adding to 13224042 its reverse (24042231), we get a palindrome (37266273).

The spelling of 13224042 in words is "thirteen million, two hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 1823 2418 3627 3646 5469 7254 10938 16407 23699 32814 47398 56513 71097 113026 142194 169539 213291 339078 426582 508617 734669 1017234 1469338 2204007 4408014 6612021 13224042