Search a number
-
+
24240420 = 22325134669
BaseRepresentation
bin101110001111…
…0000100100100
31200121112121100
41130132010210
522201143140
62223320100
7413016531
oct134360444
950545540
1024240420
1112757206
128150030
135039559
14330dd88
1521dc530
hex171e124

24240420 has 36 divisors (see below), whose sum is σ = 73529820. Its totient is φ = 6464064.

The previous prime is 24240373. The next prime is 24240427. The reversal of 24240420 is 2404242.

24240420 is a `hidden beast` number, since 2 + 4 + 240 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17239104 + 7001316 = 4152^2 + 2646^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 24240393 and 24240402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24240427) 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 11 ways as a sum of consecutive naturals, for example, 67155 + ... + 67514.

It is an arithmetic number, because the mean of its divisors is an integer number (2042495).

Almost surely, 224240420 is an apocalyptic number.

24240420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24240420 is an abundant number, since it is smaller than the sum of its proper divisors (49289400).

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

24240420 is a wasteful number, since it uses less digits than its factorization.

24240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134684 (or 134679 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 24240420 is about 4923.4561031861. The cubic root of 24240420 is about 289.4098979537.

Adding to 24240420 its reverse (2404242), we get a palindrome (26644662).

The spelling of 24240420 in words is "twenty-four million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 134669 269338 404007 538676 673345 808014 1212021 1346690 1616028 2020035 2424042 2693380 4040070 4848084 6060105 8080140 12120210 24240420