Search a number
-
+
12246276 = 2237259353
BaseRepresentation
bin101110101101…
…110100000100
3212001011201210
4232231310010
511113340101
61114251420
7206043300
oct56556404
925034653
1012246276
116a04899
124126b70
1326ca123
1418aad00
15111d7d6
hexbadd04

12246276 has 72 divisors (see below), whose sum is σ = 33899040. Its totient is φ = 3429888.

The previous prime is 12246211. The next prime is 12246287. The reversal of 12246276 is 67264221.

12246276 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34516 + ... + 34868.

It is an arithmetic number, because the mean of its divisors is an integer number (470820).

Almost surely, 212246276 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 12246276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16949520).

12246276 is an abundant number, since it is smaller than the sum of its proper divisors (21652764).

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

12246276 is a wasteful number, since it uses less digits than its factorization.

12246276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 12246276 is about 3499.4679595619. The cubic root of 12246276 is about 230.4984526915.

The spelling of 12246276 in words is "twelve million, two hundred forty-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 353 354 413 588 706 708 826 1059 1239 1412 1652 2118 2471 2478 2891 4236 4942 4956 5782 7413 8673 9884 11564 14826 17297 17346 20827 29652 34594 34692 41654 51891 62481 69188 83308 103782 124962 145789 207564 249924 291578 437367 583156 874734 1020523 1749468 2041046 3061569 4082092 6123138 12246276