Search a number
-
+
12296880 = 243355693
BaseRepresentation
bin101110111010…
…001010110000
3212010202011000
4232322022300
511122000010
61115322000
7206343651
oct56721260
925122130
1012296880
116a39912
124150300
13271717b
1418c1528
15112d7c0
hexbba2b0

12296880 has 80 divisors (see below), whose sum is σ = 42363360. Its totient is φ = 3278592.

The previous prime is 12296873. The next prime is 12296891. The reversal of 12296880 is 8869221.

12296880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687 + ... + 5006.

It is an arithmetic number, because the mean of its divisors is an integer number (529542).

Almost surely, 212296880 is an apocalyptic number.

12296880 is a gapful number since it is divisible by the number (10) 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 12296880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21181680).

12296880 is an abundant number, since it is smaller than the sum of its proper divisors (30066480).

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

12296880 is a wasteful number, since it uses less digits than its factorization.

12296880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12296880 is about 3506.6907476993. The cubic root of 12296880 is about 230.8155045667.

The spelling of 12296880 in words is "twelve million, two hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5693 11386 17079 22772 28465 34158 45544 51237 56930 68316 85395 91088 102474 113860 136632 153711 170790 204948 227720 256185 273264 307422 341580 409896 455440 512370 614844 683160 768555 819792 1024740 1229688 1366320 1537110 2049480 2459376 3074220 4098960 6148440 12296880