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20709306 = 2322997409
BaseRepresentation
bin100111011111…
…1111110111010
31102222010211100
41032333332322
520300144211
62015512230
7341011662
oct116777672
942863740
1020709306
1110765232
126b28676
1343a1237
142a711a2
151c41156
hex13bffba

20709306 has 48 divisors (see below), whose sum is σ = 47010600. Its totient is φ = 6580224.

The previous prime is 20709289. The next prime is 20709319. The reversal of 20709306 is 60390702.

It can be written as a sum of positive squares in 4 ways, for example, as 20169081 + 540225 = 4491^2 + 735^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20709306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50430 + ... + 50838.

Almost surely, 220709306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20709306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23505300).

20709306 is an abundant number, since it is smaller than the sum of its proper divisors (26301294).

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

20709306 is a wasteful number, since it uses less digits than its factorization.

20709306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20709306 is about 4550.7478506285. The cubic root of 20709306 is about 274.6134779209.

The spelling of 20709306 in words is "twenty million, seven hundred nine thousand, three hundred six".

Divisors: 1 2 3 6 9 18 29 58 87 97 174 194 261 291 409 522 582 818 873 1227 1746 2454 2813 3681 5626 7362 8439 11861 16878 23722 25317 35583 39673 50634 71166 79346 106749 119019 213498 238038 357057 714114 1150517 2301034 3451551 6903102 10354653 20709306