Search a number
-
+
12803224 = 237972357
BaseRepresentation
bin110000110101…
…110010011000
3220002110201111
4300311302120
511234200344
61134230104
7213553120
oct60656230
926073644
1012803224
117255285
124355334
132863795
1419b3c80
1511cd834
hexc35c98

12803224 has 32 divisors (see below), whose sum is σ = 27730080. Its totient is φ = 5428224.

The previous prime is 12803213. The next prime is 12803237. The reversal of 12803224 is 42230821.

It is a junction number, because it is equal to n+sod(n) for n = 12803195 and 12803204.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4254 + ... + 6610.

It is an arithmetic number, because the mean of its divisors is an integer number (866565).

Almost surely, 212803224 is an apocalyptic number.

12803224 is a gapful number since it is divisible by the number (14) 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 12803224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865040).

12803224 is an abundant number, since it is smaller than the sum of its proper divisors (14926856).

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

12803224 is a wasteful number, since it uses less digits than its factorization.

12803224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12803224 is about 3578.1593033290. The cubic root of 12803224 is about 233.9410570608.

The spelling of 12803224 in words is "twelve million, eight hundred three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 2357 2716 4714 5432 9428 16499 18856 32998 65996 131992 228629 457258 914516 1600403 1829032 3200806 6401612 12803224