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20614716 = 22332343193
BaseRepresentation
bin100111010100…
…0111000111100
31102210100002000
41032220320330
520234132331
62013502300
7340136133
oct116507074
942710060
1020614716
1110700161
126aa1990
13436a175
142a4891a
151c230e6
hex13a8e3c

20614716 has 96 divisors (see below), whose sum is σ = 57361920. Its totient is φ = 6386688.

The previous prime is 20614709. The next prime is 20614733. The reversal of 20614716 is 61741602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20614716.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 106716 + ... + 106908.

It is an arithmetic number, because the mean of its divisors is an integer number (597520).

Almost surely, 220614716 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 20614716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28680960).

20614716 is an abundant number, since it is smaller than the sum of its proper divisors (36747204).

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

20614716 is a wasteful number, since it uses less digits than its factorization.

20614716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20614716 is about 4540.3431588372. The cubic root of 20614716 is about 274.1947396393.

The spelling of 20614716 in words is "twenty million, six hundred fourteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 43 46 54 69 86 92 108 129 138 172 193 207 258 276 386 387 414 516 579 621 772 774 828 989 1158 1161 1242 1548 1737 1978 2316 2322 2484 2967 3474 3956 4439 4644 5211 5934 6948 8299 8878 8901 10422 11868 13317 16598 17756 17802 20844 24897 26634 26703 33196 35604 39951 49794 53268 53406 74691 79902 99588 106812 119853 149382 159804 190877 224073 239706 298764 381754 448146 479412 572631 763508 896292 1145262 1717893 2290524 3435786 5153679 6871572 10307358 20614716