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20806416 = 243348163
BaseRepresentation
bin100111101011…
…1101100010000
31110011002001000
41033113230100
520311301131
62021542000
7341565051
oct117275420
943132030
1020806416
1110821194
126b74900
1344064b7
142a98728
151c5ece6
hex13d7b10

20806416 has 40 divisors (see below), whose sum is σ = 59723360. Its totient is φ = 6935328.

The previous prime is 20806397. The next prime is 20806417. The reversal of 20806416 is 61460802.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 20806416.

It is not an unprimeable number, because it can be changed into a prime (20806417) 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 7 ways as a sum of consecutive naturals, for example, 23650 + ... + 24513.

It is an arithmetic number, because the mean of its divisors is an integer number (1493084).

Almost surely, 220806416 is an apocalyptic number.

It is an amenable number.

20806416 is an abundant number, since it is smaller than the sum of its proper divisors (38916944).

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

20806416 is a wasteful number, since it uses less digits than its factorization.

20806416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48180 (or 48168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20806416 is about 4561.4050466934. The cubic root of 20806416 is about 275.0420475651.

The spelling of 20806416 in words is "twenty million, eight hundred six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 48163 96326 144489 192652 288978 385304 433467 577956 770608 866934 1155912 1300401 1733868 2311824 2600802 3467736 5201604 6935472 10403208 20806416