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20683628 = 22717192287
BaseRepresentation
bin100111011100…
…1101101101100
31102220211121022
41032321231230
520243334003
62015153312
7340544060
oct116715554
942824538
1020683628
1110747a09
126b15838
134392644
142a65aa0
151c38738
hex13b9b6c

20683628 has 48 divisors (see below), whose sum is σ = 46126080. Its totient is φ = 7900416.

The previous prime is 20683627. The next prime is 20683631. The reversal of 20683628 is 82638602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20683627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7901 + ... + 10187.

It is an arithmetic number, because the mean of its divisors is an integer number (960960).

Almost surely, 220683628 is an apocalyptic number.

20683628 is a gapful number since it is divisible by the number (28) 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 20683628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23063040).

20683628 is an abundant number, since it is smaller than the sum of its proper divisors (25442452).

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

20683628 is a wasteful number, since it uses less digits than its factorization.

20683628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 20683628 is about 4547.9256810111. The cubic root of 20683628 is about 274.4999308783.

The spelling of 20683628 in words is "twenty million, six hundred eighty-three thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 2261 2287 4522 4574 9044 9148 16009 32018 38879 43453 64036 77758 86906 155516 173812 272153 304171 544306 608342 738701 1088612 1216684 1477402 2954804 5170907 10341814 20683628