Search a number
-
+
2440020 = 2235113697
BaseRepresentation
bin1001010011101101010100
311120222002010
421103231110
51111040040
6124144220
726511522
oct11235524
94528063
102440020
111417250
12998070
136757cb
14477312
15332e80
hex253b54

2440020 has 48 divisors (see below), whose sum is σ = 7455168. Its totient is φ = 591360.

The previous prime is 2440019. The next prime is 2440021. The reversal of 2440020 is 200442.

2440020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2440019) and next prime (2440021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2439978 and 2440005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189 + ... + 2508.

It is an arithmetic number, because the mean of its divisors is an integer number (155316).

22440020 is an apocalyptic number.

2440020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440020 is an abundant number, since it is smaller than the sum of its proper divisors (5015148).

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

2440020 is a wasteful number, since it uses less digits than its factorization.

2440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2440020 is about 1562.0563370122. The cubic root of 2440020 is about 134.6266777757.

Adding to 2440020 its reverse (200442), we get a palindrome (2640462).

The spelling of 2440020 in words is "two million, four hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3697 7394 11091 14788 18485 22182 36970 40667 44364 55455 73940 81334 110910 122001 162668 203335 221820 244002 406670 488004 610005 813340 1220010 2440020