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24136420 = 22572112239
BaseRepresentation
bin101110000010…
…0101011100100
31200102020221111
41130010223210
522134331140
62221154404
7412104400
oct134045344
950366844
1024136420
1112696060
1280bba04
135001109
1432c4100
1521bb7ea
hex1704ae4

24136420 has 72 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 7519680.

The previous prime is 24136397. The next prime is 24136433. The reversal of 24136420 is 2463142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 24136391 and 24136400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9661 + ... + 11899.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 224136420 is an apocalyptic number.

24136420 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 24136420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

24136420 is an abundant number, since it is smaller than the sum of its proper divisors (40214300).

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

24136420 is a wasteful number, since it uses less digits than its factorization.

24136420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 24136420 is about 4912.8830639452. The cubic root of 24136420 is about 288.9954142542.

Adding to 24136420 its reverse (2463142), we get a palindrome (26599562).

The spelling of 24136420 in words is "twenty-four million, one hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2239 2695 4478 5390 8956 10780 11195 15673 22390 24629 31346 44780 49258 62692 78365 98516 109711 123145 156730 172403 219422 246290 313460 344806 438844 492580 548555 689612 862015 1097110 1206821 1724030 2194220 2413642 3448060 4827284 6034105 12068210 24136420