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24242000420 = 22511122989659
BaseRepresentation
bin10110100100111011…
…111001001000100100
32022120110121012212102
4112210323321020210
5344121423003140
615045302111232
71515511414031
oct264473711044
968513535772
1024242000420
11a30aa827a0
12484671b518
13239449a861
14125d832388
1596d394e15
hex5a4ef9224

24242000420 has 48 divisors (see below), whose sum is σ = 55582027200. Its totient is φ = 8808001920.

The previous prime is 24242000407. The next prime is 24242000443. The reversal of 24242000420 is 2400024242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 24242000392 and 24242000401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225551 + ... + 315209.

It is an arithmetic number, because the mean of its divisors is an integer number (1157958900).

Almost surely, 224242000420 is an apocalyptic number.

24242000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24242000420 is an abundant number, since it is smaller than the sum of its proper divisors (31340026780).

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

24242000420 is a wasteful number, since it uses less digits than its factorization.

24242000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90908 (or 90906 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 24242000420 its reverse (2400024242), we get a palindrome (26642024662).

The spelling of 24242000420 in words is "twenty-four billion, two hundred forty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1229 2458 4916 6145 12290 13519 24580 27038 54076 67595 89659 135190 179318 270380 358636 448295 896590 986249 1793180 1972498 3944996 4931245 9862490 19724980 110190911 220381822 440763644 550954555 1101909110 1212100021 2203818220 2424200042 4848400084 6060500105 12121000210 24242000420