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20811024 = 24321311117
BaseRepresentation
bin100111101100…
…0110100010000
31110011022100200
41033120310100
520311423044
62022015200
7341614353
oct117306420
943138320
1020811024
11108246a3
126b77500
134408620
142a9a29a
151c61369
hex13d8d10

20811024 has 60 divisors (see below), whose sum is σ = 62727756. Its totient is φ = 6402816.

The previous prime is 20811019. The next prime is 20811031. The reversal of 20811024 is 42011802.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 18147600 = 1632^2 + 4260^2 .

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 = 20810988 and 20811006.

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 11 ways as a sum of consecutive naturals, for example, 3687 + ... + 7430.

Almost surely, 220811024 is an apocalyptic number.

20811024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20811024 is an abundant number, since it is smaller than the sum of its proper divisors (41916732).

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

20811024 is a wasteful number, since it uses less digits than its factorization.

20811024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144 (or 11135 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20811024 is about 4561.9101262519. The cubic root of 20811024 is about 275.0623506005.

Adding to 20811024 its reverse (42011802), we get a palindrome (62822826).

The spelling of 20811024 in words is "twenty million, eight hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 11117 22234 33351 44468 66702 88936 100053 133404 144521 177872 200106 266808 289042 400212 433563 533616 578084 800424 867126 1156168 1300689 1600848 1734252 2312336 2601378 3468504 5202756 6937008 10405512 20811024