Search a number
-
+
12274896 = 243475441
BaseRepresentation
bin101110110100…
…110011010000
3212002121222210
4232310303100
511120244041
61115032120
7206222604
oct56646320
925077883
1012274896
116a24347
12413b640
13270a16a
1418b7504
151127016
hexbb4cd0

12274896 has 40 divisors (see below), whose sum is σ = 32390784. Its totient is φ = 4003840.

The previous prime is 12274883. The next prime is 12274897. The reversal of 12274896 is 69847221.

12274896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12274897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465 + ... + 4976.

Almost surely, 212274896 is an apocalyptic number.

12274896 is a gapful number since it is divisible by the number (16) 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 12274896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16195392).

12274896 is an abundant number, since it is smaller than the sum of its proper divisors (20115888).

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

12274896 is a wasteful number, since it uses less digits than its factorization.

12274896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5493 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 12274896 is about 3503.5547662339. The cubic root of 12274896 is about 230.6778741292.

The spelling of 12274896 in words is "twelve million, two hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 5441 10882 16323 21764 32646 43528 65292 87056 130584 255727 261168 511454 767181 1022908 1534362 2045816 3068724 4091632 6137448 12274896