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20339116 = 2272412531
BaseRepresentation
bin100110110010…
…1100110101100
31102021100000121
41031211212230
520201322431
62003534324
7334610500
oct115454654
942240017
1020339116
1110532096
12698a3a4
1342a18a5
1429b6300
151bbb611
hex13659ac

20339116 has 36 divisors (see below), whose sum is σ = 42431256. Its totient is φ = 8500800.

The previous prime is 20339113. The next prime is 20339119. The reversal of 20339116 is 61193302.

It is an interprime number because it is at equal distance from previous prime (20339113) and next prime (20339119).

It is a super-2 number, since 2×203391162 = 827359279322912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20339113) 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, 6771 + ... + 9301.

It is an arithmetic number, because the mean of its divisors is an integer number (1178646).

Almost surely, 220339116 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 20339116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21215628).

20339116 is an abundant number, since it is smaller than the sum of its proper divisors (22092140).

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

20339116 is a wasteful number, since it uses less digits than its factorization.

20339116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 20339116 is about 4509.8909077715. The cubic root of 20339116 is about 272.9673421377.

The spelling of 20339116 in words is "twenty million, three hundred thirty-nine thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 2009 2531 4018 5062 8036 10124 17717 35434 70868 103771 124019 207542 248038 415084 496076 726397 1452794 2905588 5084779 10169558 20339116