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20745216 = 210322251
BaseRepresentation
bin100111100100…
…0110000000000
31110000222002100
41033020300000
520302321331
62020350400
7341221452
oct117106000
943028070
1020745216
111078a208
126b45400
1343b469b
142a802d2
151c4bae6
hex13c8c00

20745216 has 66 divisors (see below), whose sum is σ = 59927972. Its totient is φ = 6912000.

The previous prime is 20745211. The next prime is 20745217. The reversal of 20745216 is 61254702.

20745216 is a `hidden beast` number, since 207 + 452 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20745216.

It is not an unprimeable number, because it can be changed into a prime (20745211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8091 + ... + 10341.

Almost surely, 220745216 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 20745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29963986).

20745216 is an abundant number, since it is smaller than the sum of its proper divisors (39182756).

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

20745216 is a wasteful number, since it uses less digits than its factorization.

20745216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20745216 is about 4554.6916470822. The cubic root of 20745216 is about 274.7721131354.

Adding to 20745216 its reverse (61254702), we get a palindrome (81999918).

The spelling of 20745216 in words is "twenty million, seven hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2251 2304 3072 4502 4608 6753 9004 9216 13506 18008 20259 27012 36016 40518 54024 72032 81036 108048 144064 162072 216096 288128 324144 432192 576256 648288 864384 1152512 1296576 1728768 2305024 2593152 3457536 5186304 6915072 10372608 20745216