Search a number
-
+
240012 = 223259113
BaseRepresentation
bin111010100110001100
3110012020100
4322212030
530140022
65051100
72016513
oct724614
9405210
10240012
11154363
12b6a90
1385326
146367a
154b1ac
hex3a98c

240012 has 36 divisors (see below), whose sum is σ = 622440. Its totient is φ = 77952.

The previous prime is 240011. The next prime is 240017. The reversal of 240012 is 210042.

240012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 239976 and 240003.

It is not an unprimeable number, because it can be changed into a prime (240011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2068 + ... + 2180.

It is an arithmetic number, because the mean of its divisors is an integer number (17290).

2240012 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 240012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220).

240012 is an abundant number, since it is smaller than the sum of its proper divisors (382428).

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

240012 is a wasteful number, since it uses less digits than its factorization.

240012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 240012 is about 489.9101958523. The cubic root of 240012 is about 62.1456858460.

Adding to 240012 its reverse (210042), we get a palindrome (450054).

The spelling of 240012 in words is "two hundred forty thousand, twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 59 113 118 177 226 236 339 354 452 531 678 708 1017 1062 1356 2034 2124 4068 6667 13334 20001 26668 40002 60003 80004 120006 240012