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20802024 = 2332436719
BaseRepresentation
bin100111101011…
…0100111101000
31110010212000100
41033112213220
520311131044
62021505400
7341546205
oct117264750
943125010
1020802024
1110818961
126b72260
1344044b9
142a96cac
151c5d869
hex13d69e8

20802024 has 48 divisors (see below), whose sum is σ = 57657600. Its totient is φ = 6771744.

The previous prime is 20802011. The next prime is 20802049. The reversal of 20802024 is 42020802.

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 = 20801988 and 20802006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264 + ... + 6455.

It is an arithmetic number, because the mean of its divisors is an integer number (1201200).

Almost surely, 220802024 is an apocalyptic number.

20802024 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 20802024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28828800).

20802024 is an abundant number, since it is smaller than the sum of its proper divisors (36855576).

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

20802024 is a wasteful number, since it uses less digits than its factorization.

20802024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20802024 is about 4560.9235906777. The cubic root of 20802024 is about 275.0226934441.

Adding to 20802024 its reverse (42020802), we get a palindrome (62822826).

The spelling of 20802024 in words is "twenty million, eight hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 6719 13438 20157 26876 40314 53752 60471 80628 120942 161256 241884 288917 483768 577834 866751 1155668 1733502 2311336 2600253 3467004 5200506 6934008 10401012 20802024