Search a number
-
+
1240416 = 25325973
BaseRepresentation
bin100101110110101100000
32100000112100
410232311200
5304143131
642330400
713354242
oct4566540
92300470
101240416
11777a41
124b9a00
13345798
14244092
151977e6
hex12ed60

1240416 has 72 divisors (see below), whose sum is σ = 3636360. Its totient is φ = 400896.

The previous prime is 1240399. The next prime is 1240423. The reversal of 1240416 is 6140421.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16956 + ... + 17028.

It is an arithmetic number, because the mean of its divisors is an integer number (50505).

21240416 is an apocalyptic number.

1240416 is a gapful number since it is divisible by the number (16) 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 1240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818180).

1240416 is an abundant number, since it is smaller than the sum of its proper divisors (2395944).

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

1240416 is a wasteful number, since it uses less digits than its factorization.

1240416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1240416 is about 1113.7396464165. The cubic root of 1240416 is about 107.4457198476.

Adding to 1240416 its reverse (6140421), we get a palindrome (7380837).

The spelling of 1240416 in words is "one million, two hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 73 96 118 144 146 177 219 236 288 292 354 438 472 531 584 657 708 876 944 1062 1168 1314 1416 1752 1888 2124 2336 2628 2832 3504 4248 4307 5256 5664 7008 8496 8614 10512 12921 16992 17228 21024 25842 34456 38763 51684 68912 77526 103368 137824 155052 206736 310104 413472 620208 1240416