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20312424 = 23331183103
BaseRepresentation
bin100110101111…
…1000101101000
31102012222102000
41031133011220
520144444144
62003211000
7334436616
oct115370550
942188360
1020312424
1110514030
126976a60
1342926b2
1429aa6b6
151bb3769
hex135f168

20312424 has 128 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 6022080.

The previous prime is 20312419. The next prime is 20312429. The reversal of 20312424 is 42421302.

It is an interprime number because it is at equal distance from previous prime (20312419) and next prime (20312429).

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 = 20312397 and 20312406.

It is not an unprimeable number, because it can be changed into a prime (20312429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 197157 + ... + 197259.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 220312424 is an apocalyptic number.

20312424 is a gapful number since it is divisible by the number (24) 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 20312424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

20312424 is an abundant number, since it is smaller than the sum of its proper divisors (42586776).

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

20312424 is a wasteful number, since it uses less digits than its factorization.

20312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20312424 is about 4506.9306628791. The cubic root of 20312424 is about 272.8478804741.

Adding to 20312424 its reverse (42421302), we get a palindrome (62733726).

It can be divided in two parts, 20312 and 424, that added together give a 4-th power (20736 = 124).

The spelling of 20312424 in words is "twenty million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 83 88 99 103 108 132 166 198 206 216 249 264 297 309 332 396 412 498 594 618 664 747 792 824 913 927 996 1133 1188 1236 1494 1826 1854 1992 2241 2266 2376 2472 2739 2781 2988 3399 3652 3708 4482 4532 5478 5562 5976 6798 7304 7416 8217 8549 8964 9064 10197 10956 11124 13596 16434 17098 17928 20394 21912 22248 24651 25647 27192 30591 32868 34196 40788 49302 51294 61182 65736 68392 76941 81576 94039 98604 102588 122364 153882 188078 197208 205176 230823 244728 282117 307764 376156 461646 564234 615528 752312 846351 923292 1128468 1692702 1846584 2256936 2539053 3385404 5078106 6770808 10156212 20312424