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20428300 = 2252673049
BaseRepresentation
bin100110111101…
…1011000001100
31102102212100201
41031323120030
520212201200
62005503244
7335431504
oct115733014
942385321
1020428300
11105930a2
126a11b24
134303369
1429daa04
151bd7c6a
hex137b60c

20428300 has 36 divisors (see below), whose sum is σ = 45005800. Its totient is φ = 8046720.

The previous prime is 20428283. The next prime is 20428307. The reversal of 20428300 is 382402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20428307) 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 11 ways as a sum of consecutive naturals, for example, 5176 + ... + 8224.

Almost surely, 220428300 is an apocalyptic number.

20428300 is a gapful number since it is divisible by the number (20) 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 20428300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22502900).

20428300 is an abundant number, since it is smaller than the sum of its proper divisors (24577500).

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

20428300 is a wasteful number, since it uses less digits than its factorization.

20428300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 20428300 is about 4519.7676931453. The cubic root of 20428300 is about 273.3657341457.

The spelling of 20428300 in words is "twenty million, four hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3049 3350 6098 6700 12196 15245 30490 60980 76225 152450 204283 304900 408566 817132 1021415 2042830 4085660 5107075 10214150 20428300