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20109824 = 29731181
BaseRepresentation
bin100110010110…
…1101000000000
31101211200111022
41030231220000
520122003244
61555005012
7332634140
oct114555000
941750438
1020109824
1110395899
126899768
134221407
142956920
151b736ee
hex132da00

20109824 has 80 divisors (see below), whose sum is σ = 47663616. Its totient is φ = 8294400.

The previous prime is 20109811. The next prime is 20109829. The reversal of 20109824 is 42890102.

It is a junction number, because it is equal to n+sod(n) for n = 20109793 and 20109802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20109829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111014 + ... + 111194.

Almost surely, 220109824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23831808).

20109824 is an abundant number, since it is smaller than the sum of its proper divisors (27553792).

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

20109824 is an equidigital number, since it uses as much as digits as its factorization.

20109824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 20109824 is about 4484.3978414052. The cubic root of 20109824 is about 271.9377019955.

Adding to 20109824 its reverse (42890102), we get a palindrome (62999926).

The spelling of 20109824 in words is "twenty million, one hundred nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 181 217 224 248 256 362 434 448 496 512 724 868 896 992 1267 1448 1736 1792 1984 2534 2896 3472 3584 3968 5068 5611 5792 6944 7936 10136 11222 11584 13888 15872 20272 22444 23168 27776 39277 40544 44888 46336 55552 78554 81088 89776 92672 111104 157108 162176 179552 314216 324352 359104 628432 648704 718208 1256864 1436416 2513728 2872832 5027456 10054912 20109824