Search a number
-
+
12886412 = 22721143139
BaseRepresentation
bin110001001010…
…000110001100
3220020200211112
4301022012030
511244331122
61140111152
7214350500
oct61120614
926220745
1012886412
117301830
1243954b8
1328925c6
1419d6300
1511e82e2
hexc4a18c

12886412 has 72 divisors (see below), whose sum is σ = 29494080. Its totient is φ = 4868640.

The previous prime is 12886381. The next prime is 12886439. The reversal of 12886412 is 21468821.

It is a happy number.

It is a super-2 number, since 2×128864122 = 332119228467488, which contains 22 as substring.

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, 92639 + ... + 92777.

It is an arithmetic number, because the mean of its divisors is an integer number (409640).

Almost surely, 212886412 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 12886412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747040).

12886412 is an abundant number, since it is smaller than the sum of its proper divisors (16607668).

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

12886412 is a wasteful number, since it uses less digits than its factorization.

12886412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 12886412 is about 3589.7648948086. The cubic root of 12886412 is about 234.4466352170.

The spelling of 12886412 in words is "twelve million, eight hundred eighty-six thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 43 44 49 77 86 98 139 154 172 196 278 301 308 473 539 556 602 946 973 1078 1204 1529 1892 1946 2107 2156 3058 3311 3892 4214 5977 6116 6622 6811 8428 10703 11954 13244 13622 21406 23177 23908 27244 41839 42812 46354 65747 74921 83678 92708 131494 149842 167356 262988 292873 299684 460229 585746 920458 1171492 1840916 3221603 6443206 12886412