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20428224 = 263106397
BaseRepresentation
bin100110111101…
…1010111000000
31102102212020220
41031323113000
520212200344
62005503040
7335431335
oct115732700
942385226
1020428224
1110593033
126a11a80
13430330b
1429da98c
151bd7c19
hex137b5c0

20428224 has 28 divisors (see below), whose sum is σ = 54050184. Its totient is φ = 6809344.

The previous prime is 20428223. The next prime is 20428231. The reversal of 20428224 is 42282402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20428194 and 20428203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20428223) 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 3 ways as a sum of consecutive naturals, for example, 53007 + ... + 53390.

Almost surely, 220428224 is an apocalyptic number.

20428224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20428224 is an abundant number, since it is smaller than the sum of its proper divisors (33621960).

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

20428224 is a wasteful number, since it uses less digits than its factorization.

20428224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106412 (or 106402 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 20428224 is about 4519.7592856257. The cubic root of 20428224 is about 273.3653951418.

The spelling of 20428224 in words is "twenty million, four hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 106397 212794 319191 425588 638382 851176 1276764 1702352 2553528 3404704 5107056 6809408 10214112 20428224