Search a number
-
+
24212420 = 2251725971
BaseRepresentation
bin101110001011…
…1001111000100
31200120010012022
41130113033010
522144244140
62222542312
7412542101
oct134271704
950503168
1024212420
1112738171
128137998
13502989b
143303aa8
1521d40b5
hex17173c4

24212420 has 72 divisors (see below), whose sum is σ = 55702080. Its totient is φ = 8834560.

The previous prime is 24212417. The next prime is 24212431. The reversal of 24212420 is 2421242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 340985 + ... + 341055.

It is an arithmetic number, because the mean of its divisors is an integer number (773640).

Almost surely, 224212420 is an apocalyptic number.

24212420 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 24212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27851040).

24212420 is an abundant number, since it is smaller than the sum of its proper divisors (31489660).

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

24212420 is a wasteful number, since it uses less digits than its factorization.

24212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 24212420 is about 4920.6117505855. The cubic root of 24212420 is about 289.2984229979.

Adding to 24212420 its reverse (2421242), we get a palindrome (26633662).

The spelling of 24212420 in words is "twenty-four million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 71 85 118 142 170 236 284 289 295 340 355 578 590 710 1003 1156 1180 1207 1420 1445 2006 2414 2890 4012 4189 4828 5015 5780 6035 8378 10030 12070 16756 17051 20060 20519 20945 24140 34102 41038 41890 68204 71213 82076 83780 85255 102595 142426 170510 205190 284852 341020 356065 410380 712130 1210621 1424260 2421242 4842484 6053105 12106210 24212420