Search a number
-
+
12886434 = 23211371759
BaseRepresentation
bin110001001010…
…000110100010
3220020200212100
4301022012202
511244331214
61140111230
7214350531
oct61120642
926220770
1012886434
117301850
124395516
132892612
1419d6318
1511e8309
hexc4a1a2

12886434 has 48 divisors (see below), whose sum is σ = 31299840. Its totient is φ = 3797280.

The previous prime is 12886381. The next prime is 12886439. The reversal of 12886434 is 43468821.

12886434 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 643 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (12886439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6447 + ... + 8205.

It is an arithmetic number, because the mean of its divisors is an integer number (652080).

Almost surely, 212886434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12886434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649920).

12886434 is an abundant number, since it is smaller than the sum of its proper divisors (18413406).

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

12886434 is a wasteful number, since it uses less digits than its factorization.

12886434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1812 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 12886434 is about 3589.7679590748. The cubic root of 12886434 is about 234.4467686346.

It can be divided in two parts, 12 and 886434, that added together give a triangular number (886446 = T1331).

The spelling of 12886434 in words is "twelve million, eight hundred eighty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 1759 2442 3518 3663 5277 7326 10554 15831 19349 31662 38698 58047 65083 116094 130166 174141 195249 348282 390498 585747 715913 1171494 1431826 2147739 4295478 6443217 12886434