Search a number
-
+
12234640 = 2451113903
BaseRepresentation
bin101110101010…
…111110010000
3212000120202211
4232222332100
511113002030
61114121504
7205664335
oct56527620
925016684
1012234640
1169a7080
124120294
1326c4a42
1418a698c
15111a12a
hexbaaf90

12234640 has 40 divisors (see below), whose sum is σ = 31033728. Its totient is φ = 4448640.

The previous prime is 12234637. The next prime is 12234659. The reversal of 12234640 is 4643221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6072 + ... + 7831.

Almost surely, 212234640 is an apocalyptic number.

12234640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12234640 is an abundant number, since it is smaller than the sum of its proper divisors (18799088).

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

12234640 is a wasteful number, since it uses less digits than its factorization.

12234640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13927 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 12234640 is about 3497.8050260127. The cubic root of 12234640 is about 230.4254255956.

Adding to 12234640 its reverse (4643221), we get a palindrome (16877861).

The spelling of 12234640 in words is "twelve million, two hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 13903 27806 55612 69515 111224 139030 152933 222448 278060 305866 556120 611732 764665 1112240 1223464 1529330 2446928 3058660 6117320 12234640