Search a number
-
+
12446368 = 2511191861
BaseRepresentation
bin101111011110…
…101010100000
3212102100012121
4233132222200
511141240433
61122434024
7210535534
oct57365240
925370177
1012446368
117031160
124202914
13276a21c
14191dbc4
15115cc2d
hexbdeaa0

12446368 has 48 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 5356800.

The previous prime is 12446353. The next prime is 12446419. The reversal of 12446368 is 86364421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5758 + ... + 7618.

It is an arithmetic number, because the mean of its divisors is an integer number (586530).

Almost surely, 212446368 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 12446368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).

12446368 is an abundant number, since it is smaller than the sum of its proper divisors (15707072).

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

12446368 is a wasteful number, since it uses less digits than its factorization.

12446368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1893 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 12446368 is about 3527.9410425913. The cubic root of 12446368 is about 231.7470489196.

The spelling of 12446368 in words is "twelve million, four hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 1861 3344 3722 6688 7444 14888 20471 29776 35359 40942 59552 70718 81884 141436 163768 282872 327536 388949 565744 655072 777898 1131488 1555796 3111592 6223184 12446368