Search a number
-
+
12140232 = 23313167233
BaseRepresentation
bin101110010011…
…111011001000
3211211210021020
4232103323020
511101441412
61112112440
7205122156
oct56237310
924753236
1012140232
116942155
124095720
132690a90
1418803d6
1510ec18c
hexb93ec8

12140232 has 64 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3697152.

The previous prime is 12140231. The next prime is 12140237. The reversal of 12140232 is 23204121.

It is not an unprimeable number, because it can be changed into a prime (12140231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51988 + ... + 52220.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 212140232 is an apocalyptic number.

12140232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

12140232 is an abundant number, since it is smaller than the sum of its proper divisors (20881848).

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

12140232 is a wasteful number, since it uses less digits than its factorization.

12140232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12140232 is about 3484.2835705493. The cubic root of 12140232 is about 229.8312057068.

Adding to 12140232 its reverse (23204121), we get a palindrome (35344353).

The spelling of 12140232 in words is "twelve million, one hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 167 233 312 334 466 501 668 699 932 1002 1336 1398 1864 2004 2171 2796 3029 4008 4342 5592 6058 6513 8684 9087 12116 13026 17368 18174 24232 26052 36348 38911 52104 72696 77822 116733 155644 233466 311288 466932 505843 933864 1011686 1517529 2023372 3035058 4046744 6070116 12140232