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24244020 = 223253672
BaseRepresentation
bin101110001111…
…0111100110100
31200121201112200
41130132330310
522201302040
62223344500
7413033163
oct134367464
950551480
1024244020
1112759989
128152130
13503b098
1433113da
1521dd630
hex171ef34

24244020 has 54 divisors (see below), whose sum is σ = 73741122. Its totient is φ = 6447456.

The previous prime is 24244013. The next prime is 24244021. The reversal of 24244020 is 2044242.

It can be written as a sum of positive squares in only one way, i.e., 19395216 + 4848804 = 4404^2 + 2202^2 .

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 = 24243984 and 24244002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24244021) 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, 65877 + ... + 66243.

Almost surely, 224244020 is an apocalyptic number.

24244020 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 24244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36870561).

24244020 is an abundant number, since it is smaller than the sum of its proper divisors (49497102).

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

24244020 is a wasteful number, since it uses less digits than its factorization.

24244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 377 counting only the distinct ones).

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

The square root of 24244020 is about 4923.8216864545. The cubic root of 24244020 is about 289.4242242189.

Adding to 24244020 its reverse (2044242), we get a palindrome (26288262).

The spelling of 24244020 in words is "twenty-four million, two hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 367 734 1101 1468 1835 2202 3303 3670 4404 5505 6606 7340 11010 13212 16515 22020 33030 66060 134689 269378 404067 538756 673445 808134 1212201 1346890 1616268 2020335 2424402 2693780 4040670 4848804 6061005 8081340 12122010 24244020