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20289328 = 242973599
BaseRepresentation
bin100110101100…
…1011100110000
31102011210201121
41031121130300
520143224303
62002512024
7334312363
oct115313460
942153647
1020289328
11104a8744
126965614
134285027
1429a20da
151bab9bd
hex1359730

20289328 has 40 divisors (see below), whose sum is σ = 41292000. Its totient is φ = 9644544.

The previous prime is 20289319. The next prime is 20289337. The reversal of 20289328 is 82398202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20289319) and next prime (20289337).

It is a junction number, because it is equal to n+sod(n) for n = 20289293 and 20289302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33573 + ... + 34171.

It is an arithmetic number, because the mean of its divisors is an integer number (1032300).

Almost surely, 220289328 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 20289328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20646000).

20289328 is an abundant number, since it is smaller than the sum of its proper divisors (21002672).

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

20289328 is a wasteful number, since it uses less digits than its factorization.

20289328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 20289328 is about 4504.3676581736. The cubic root of 20289328 is about 272.7444284427.

The spelling of 20289328 in words is "twenty million, two hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 73 116 146 232 292 464 584 599 1168 1198 2117 2396 4234 4792 8468 9584 16936 17371 33872 34742 43727 69484 87454 138968 174908 277936 349816 699632 1268083 2536166 5072332 10144664 20289328