Search a number
-
+
13224090 = 2351123643
BaseRepresentation
bin110010011100…
…100010011010
3220212212001010
4302130202122
511341132330
61151234350
7220255125
oct62344232
926785033
1013224090
117512500
1245189b6
132980209
141a833bc
1512633b0
hexc9c89a

13224090 has 48 divisors (see below), whose sum is σ = 34894944. Its totient is φ = 3204960.

The previous prime is 13224089. The next prime is 13224097. The reversal of 13224090 is 9042231.

It is not an unprimeable number, because it can be changed into a prime (13224097) 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 23 ways as a sum of consecutive naturals, for example, 1809 + ... + 5451.

It is an arithmetic number, because the mean of its divisors is an integer number (726978).

Almost surely, 213224090 is an apocalyptic number.

13224090 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 13224090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447472).

13224090 is an abundant number, since it is smaller than the sum of its proper divisors (21670854).

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

13224090 is a wasteful number, since it uses less digits than its factorization.

13224090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13224090 is about 3636.4941908382. The cubic root of 13224090 is about 236.4768320554.

The spelling of 13224090 in words is "thirteen million, two hundred twenty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 3643 7286 10929 18215 21858 36430 40073 54645 80146 109290 120219 200365 240438 400730 440803 601095 881606 1202190 1322409 2204015 2644818 4408030 6612045 13224090