Search a number
-
+
12073896 = 2332232317
BaseRepresentation
bin101110000011…
…101110101000
3211201102021100
4232003232220
511042331041
61110441400
7204424602
oct56035650
924642240
1012073896
1168a732a
124063260
132669823
141864172
1510d76b6
hexb83ba8

12073896 has 72 divisors (see below), whose sum is σ = 34291530. Its totient is φ = 3837504.

The previous prime is 12073871. The next prime is 12073907. The reversal of 12073896 is 69837021.

12073896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11902500 + 171396 = 3450^2 + 414^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12073896.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37930 + ... + 38246.

Almost surely, 212073896 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 12073896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17145765).

12073896 is an abundant number, since it is smaller than the sum of its proper divisors (22217634).

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

12073896 is a wasteful number, since it uses less digits than its factorization.

12073896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12073896 is about 3474.7512141159. The cubic root of 12073896 is about 229.4118305140.

The spelling of 12073896 in words is "twelve million, seventy-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 317 414 529 552 634 828 951 1058 1268 1587 1656 1902 2116 2536 2853 3174 3804 4232 4761 5706 6348 7291 7608 9522 11412 12696 14582 19044 21873 22824 29164 38088 43746 58328 65619 87492 131238 167693 174984 262476 335386 503079 524952 670772 1006158 1341544 1509237 2012316 3018474 4024632 6036948 12073896