Search a number
-
+
12241320 = 23357131959
BaseRepresentation
bin101110101100…
…100110101000
3212000220221020
4232230212220
511113210240
61114212440
7206022660
oct56544650
925026836
1012241320
116a010a3
124124120
1326c7ab0
1418a91a0
15111c0d0
hexbac9a8

12241320 has 256 divisors, whose sum is σ = 48384000. Its totient is φ = 2405376.

The previous prime is 12241319. The next prime is 12241331. The reversal of 12241320 is 2314221.

12241320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12241320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207451 + ... + 207509.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 212241320 is an apocalyptic number.

12241320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

12241320 is an abundant number, since it is smaller than the sum of its proper divisors (36142680).

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

12241320 is a wasteful number, since it uses less digits than its factorization.

12241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12241320 is about 3498.7597802650. The cubic root of 12241320 is about 230.4673546808.

Adding to 12241320 its reverse (2314221), we get a palindrome (14555541).

It can be divided in two parts, 12241 and 320, that added together give a triangular number (12561 = T158).

The spelling of 12241320 in words is "twelve million, two hundred forty-one thousand, three hundred twenty".