Search a number
-
+
12085812 = 2232973461
BaseRepresentation
bin101110000110…
…101000110100
3211202000121200
4232012220310
511043221222
61111012500
7204504414
oct56065064
924660550
1012085812
116905282
12406a130
13267208b
141868644
1510daeac
hexb86a34

12085812 has 36 divisors (see below), whose sum is σ = 30874116. Its totient is φ = 3985920.

The previous prime is 12085789. The next prime is 12085813. The reversal of 12085812 is 21858021.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 8259876 = 1956^2 + 2874^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085813) by changing a digit.

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, 1762 + ... + 5222.

Almost surely, 212085812 is an apocalyptic number.

12085812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12085812 is an abundant number, since it is smaller than the sum of its proper divisors (18788304).

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

12085812 is a wasteful number, since it uses less digits than its factorization.

12085812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 12085812 is about 3476.4654463981. The cubic root of 12085812 is about 229.4872762678.

The spelling of 12085812 in words is "twelve million, eighty-five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3461 3492 6922 10383 13844 20766 31149 41532 62298 124596 335717 671434 1007151 1342868 2014302 3021453 4028604 6042906 12085812