Search a number
-
+
12681684 = 22364349
BaseRepresentation
bin110000011000…
…000111010100
3212212022000000
4300120013110
511221303214
61131451300
7212535561
oct60300724
925768000
1012681684
117181a34
1242b6b30
132820372
141981868
1511a7809
hexc181d4

12681684 has 42 divisors (see below), whose sum is σ = 33281850. Its totient is φ = 4226256.

The previous prime is 12681631. The next prime is 12681703. The reversal of 12681684 is 48618621.

It can be written as a sum of positive squares in only one way, i.e., 7290000 + 5391684 = 2700^2 + 2322^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 742 + ... + 5090.

It is an arithmetic number, because the mean of its divisors is an integer number (792425).

Almost surely, 212681684 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 12681684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16640925).

12681684 is an abundant number, since it is smaller than the sum of its proper divisors (20600166).

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

12681684 is an equidigital number, since it uses as much as digits as its factorization.

12681684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4354 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12681684 is about 3561.1352122603. The cubic root of 12681684 is about 233.1984408531.

It can be divided in two parts, 1268 and 1684, that multiplied together give a palindrome (2135312).

The spelling of 12681684 in words is "twelve million, six hundred eighty-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4349 8698 13047 17396 26094 39141 52188 78282 117423 156564 234846 352269 469692 704538 1056807 1409076 2113614 3170421 4227228 6340842 12681684