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24040420 = 22529181229
BaseRepresentation
bin101101110110…
…1001111100100
31200020101020221
41123231033210
522123243140
62215134124
7411224455
oct133551744
950211227
1024040420
111262aa18
128074344
134c99501
14329b12c
15219d14a
hex16ed3e4

24040420 has 48 divisors (see below), whose sum is σ = 52743600. Its totient is φ = 9192960.

The previous prime is 24040403. The next prime is 24040421. The reversal of 24040420 is 2404042.

It can be written as a sum of positive squares in 8 ways, for example, as 459684 + 23580736 = 678^2 + 4856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24040394 and 24040403.

It is not an unprimeable number, because it can be changed into a prime (24040421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104866 + ... + 105094.

It is an arithmetic number, because the mean of its divisors is an integer number (1098825).

Almost surely, 224040420 is an apocalyptic number.

24040420 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 24040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26371800).

24040420 is an abundant number, since it is smaller than the sum of its proper divisors (28703180).

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

24040420 is a wasteful number, since it uses less digits than its factorization.

24040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 24040420 is about 4903.1030990588. The cubic root of 24040420 is about 288.6117558160.

Adding to 24040420 its reverse (2404042), we get a palindrome (26444462).

The spelling of 24040420 in words is "twenty-four million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 181 229 290 362 458 580 724 905 916 1145 1810 2290 3620 4580 5249 6641 10498 13282 20996 26245 26564 33205 41449 52490 66410 82898 104980 132820 165796 207245 414490 828980 1202021 2404042 4808084 6010105 12020210 24040420