Search a number
-
+
240149 = 7213229
BaseRepresentation
bin111010101000010101
3110012102102
4322220111
530141044
65051445
72020100
oct725025
9405372
10240149
11154478
12b6b85
1385400
1463737
154b24e
hex3aa15

240149 has 18 divisors (see below), whose sum is σ = 312930. Its totient is φ = 183456.

The previous prime is 240139. The next prime is 240151. The reversal of 240149 is 941042.

240149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 49 + 240100 = 7^2 + 490^2 .

It is not a de Polignac number, because 240149 - 28 = 239893 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 240149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8267 + ... + 8295.

It is an arithmetic number, because the mean of its divisors is an integer number (17385).

2240149 is an apocalyptic number.

240149 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

240149 is a deficient number, since it is larger than the sum of its proper divisors (72781).

240149 is a wasteful number, since it uses less digits than its factorization.

240149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 240149 is about 490.0499974492. The cubic root of 240149 is about 62.1575079487.

It can be divided in two parts, 2401 and 49, that multiplied together give a 6-th power (117649 = 76).

The spelling of 240149 in words is "two hundred forty thousand, one hundred forty-nine".

Divisors: 1 7 13 29 49 91 169 203 377 637 1183 1421 2639 4901 8281 18473 34307 240149