Search a number
-
+
12839436 = 2232834297
BaseRepresentation
bin110000111110…
…101000001100
3220011022101200
4300332220030
511241330221
61135105500
7214063521
oct60765014
926138350
1012839436
11727a505
124372290
1328770cc
1419c3148
1511d9426
hexc3ea0c

12839436 has 36 divisors (see below), whose sum is σ = 32853912. Its totient is φ = 4227264.

The previous prime is 12839429. The next prime is 12839443. The reversal of 12839436 is 63493821.

It is an interprime number because it is at equal distance from previous prime (12839429) and next prime (12839443).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×128394362 = 329702233596192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12839436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840 + ... + 5136.

Almost surely, 212839436 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 12839436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426956).

12839436 is an abundant number, since it is smaller than the sum of its proper divisors (20014476).

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

12839436 is a wasteful number, since it uses less digits than its factorization.

12839436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4385 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12839436 is about 3583.2158740439. The cubic root of 12839436 is about 234.1614051888.

The spelling of 12839436 in words is "twelve million, eight hundred thirty-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 4297 8594 12891 17188 25782 38673 51564 77346 154692 356651 713302 1069953 1426604 2139906 3209859 4279812 6419718 12839436