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20816616 = 2335961241
BaseRepresentation
bin100111101101…
…0001011101000
31110011121000210
41033122023220
520312112431
62022101120
7341636562
oct117321350
943147023
1020816616
1110828917
126b7a7a0
13440b032
142a9c332
151c62d46
hex13da2e8

20816616 has 64 divisors (see below), whose sum is σ = 54014400. Its totient is φ = 6681600.

The previous prime is 20816611. The next prime is 20816617. The reversal of 20816616 is 61661802.

It is not an unprimeable number, because it can be changed into a prime (20816611) 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 15 ways as a sum of consecutive naturals, for example, 86256 + ... + 86496.

It is an arithmetic number, because the mean of its divisors is an integer number (843975).

Almost surely, 220816616 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 20816616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007200).

20816616 is an abundant number, since it is smaller than the sum of its proper divisors (33197784).

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

20816616 is a wasteful number, since it uses less digits than its factorization.

20816616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 20816616 is about 4562.5229862435. The cubic root of 20816616 is about 275.0869851550.

The spelling of 20816616 in words is "twenty million, eight hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 59 61 118 122 177 183 236 241 244 354 366 472 482 488 708 723 732 964 1416 1446 1464 1928 2892 3599 5784 7198 10797 14219 14396 14701 21594 28438 28792 29402 42657 43188 44103 56876 58804 85314 86376 88206 113752 117608 170628 176412 341256 352824 867359 1734718 2602077 3469436 5204154 6938872 10408308 20816616