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24243040 = 255277547
BaseRepresentation
bin101110001111…
…0101101100000
31200121200012101
41130132231200
522201234130
62223340144
7413030263
oct134365540
950550171
1024243040
1112759178
128151654
13503a7c3
143310cda
1521dd1ca
hex171eb60

24243040 has 48 divisors (see below), whose sum is σ = 57586032. Its totient is φ = 9644544.

The previous prime is 24243019. The next prime is 24243049. The reversal of 24243040 is 4034242.

It is a junction number, because it is equal to n+sod(n) for n = 24242999 and 24243017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24243049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44047 + ... + 44593.

It is an arithmetic number, because the mean of its divisors is an integer number (1199709).

Almost surely, 224243040 is an apocalyptic number.

24243040 is a gapful number since it is divisible by the number (20) 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 24243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28793016).

24243040 is an abundant number, since it is smaller than the sum of its proper divisors (33342992).

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

24243040 is a wasteful number, since it uses less digits than its factorization.

24243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 24243040 is about 4923.7221692537. The cubic root of 24243040 is about 289.4203244317.

Adding to 24243040 its reverse (4034242), we get a palindrome (28277282).

The spelling of 24243040 in words is "twenty-four million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 277 547 554 1094 1108 1385 2188 2216 2735 2770 4376 4432 5470 5540 8752 8864 10940 11080 17504 21880 22160 43760 44320 87520 151519 303038 606076 757595 1212152 1515190 2424304 3030380 4848608 6060760 12121520 24243040