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920616201 = 32534014813
BaseRepresentation
bin110110110111110…
…111110100001001
32101011022011000100
4312313313310021
53341134204301
6231204000013
731546052151
oct6667676411
92334264010
10920616201
1143273363a
12218390009
1311896441b
148a3a5761
1555c50286
hex36df7d09

920616201 has 24 divisors (see below), whose sum is σ = 1358530056. Its totient is φ = 600537600.

The previous prime is 920616199. The next prime is 920616211. The reversal of 920616201 is 102616029.

920616201 is a `hidden beast` number, since 9 + 20 + 616 + 20 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 635040000 + 285576201 = 25200^2 + 16899^2 .

It is not a de Polignac number, because 920616201 - 21 = 920616199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (920616211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188871 + ... + 193683.

It is an arithmetic number, because the mean of its divisors is an integer number (56605419).

Almost surely, 2920616201 is an apocalyptic number.

It is an amenable number.

920616201 is a deficient number, since it is larger than the sum of its proper divisors (437913855).

920616201 is a wasteful number, since it uses less digits than its factorization.

920616201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 920616201 is about 30341.6578485751. The cubic root of 920616201 is about 972.8059191371.

The spelling of 920616201 in words is "nine hundred twenty million, six hundred sixteen thousand, two hundred one".

Divisors: 1 3 9 53 159 401 477 1203 3609 4813 14439 21253 43317 63759 191277 255089 765267 1930013 2295801 5790039 17370117 102290689 306872067 920616201