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20412616 = 237343173
BaseRepresentation
bin100110111011…
…1100011001000
31102102001211211
41031313203020
520211200431
62005302504
7335335000
oct115674310
942361754
1020412616
1110582334
126a04a34
1342c9193
1429d5000
151bd32b1
hex13778c8

20412616 has 64 divisors (see below), whose sum is σ = 45936000. Its totient is φ = 8495424.

The previous prime is 20412599. The next prime is 20412647. The reversal of 20412616 is 61621402.

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 15 ways as a sum of consecutive naturals, for example, 117906 + ... + 118078.

It is an arithmetic number, because the mean of its divisors is an integer number (717750).

Almost surely, 220412616 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 20412616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22968000).

20412616 is an abundant number, since it is smaller than the sum of its proper divisors (25523384).

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

20412616 is a wasteful number, since it uses less digits than its factorization.

20412616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 20412616 is about 4518.0323150681. The cubic root of 20412616 is about 273.2957566164.

The spelling of 20412616 in words is "twenty million, four hundred twelve thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 173 196 301 343 344 346 392 602 686 692 1204 1211 1372 1384 2107 2408 2422 2744 4214 4844 7439 8428 8477 9688 14749 14878 16856 16954 29498 29756 33908 52073 58996 59339 59512 67816 104146 117992 118678 208292 237356 364511 416584 474712 729022 1458044 2551577 2916088 5103154 10206308 20412616