Search a number
-
+
12241164 = 22313131599
BaseRepresentation
bin101110101100…
…100100001100
3212000220201110
4232230210030
511113204124
61114212020
7206022345
oct56544414
925026643
1012241164
116a00a71
124124010
1326c79c0
1418a90cc
15111c029
hexbac90c

12241164 has 48 divisors (see below), whose sum is σ = 31046400. Its totient is φ = 3731520.

The previous prime is 12241157. The next prime is 12241169. The reversal of 12241164 is 46114221.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12241164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20137 + ... + 20735.

It is an arithmetic number, because the mean of its divisors is an integer number (646800).

Almost surely, 212241164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12241164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523200).

12241164 is an abundant number, since it is smaller than the sum of its proper divisors (18805236).

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

12241164 is a wasteful number, since it uses less digits than its factorization.

12241164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 748 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 12241164 is about 3498.7374865800. The cubic root of 12241164 is about 230.4663756726.

Adding to 12241164 its reverse (46114221), we get a palindrome (58355385).

The spelling of 12241164 in words is "twelve million, two hundred forty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 524 599 786 1198 1572 1703 1797 2396 3406 3594 5109 6812 7188 7787 10218 15574 20436 23361 31148 46722 78469 93444 156938 235407 313876 470814 941628 1020097 2040194 3060291 4080388 6120582 12241164