Search a number
-
+
21789801 = 3211317107
BaseRepresentation
bin101001100011…
…1110001101001
31112000000222200
41103013301221
521034233201
62055010413
7353132055
oct123076151
945000880
1021789801
1111333000
127369a09
13468bc97
142c72c65
151da6386
hex14c7c69

21789801 has 48 divisors (see below), whose sum is σ = 36998208. Its totient is φ = 12312960.

The previous prime is 21789797. The next prime is 21789839. The reversal of 21789801 is 10898712.

It is not a de Polignac number, because 21789801 - 22 = 21789797 is a prime.

21789801 is a modest number, since divided by 9801 gives 2178 as remainder.

It is a Curzon number.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21789851) 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 47 ways as a sum of consecutive naturals, for example, 203590 + ... + 203696.

It is an arithmetic number, because the mean of its divisors is an integer number (770796).

Almost surely, 221789801 is an apocalyptic number.

It is an amenable number.

21789801 is a deficient number, since it is larger than the sum of its proper divisors (15208407).

21789801 is a wasteful number, since it uses less digits than its factorization.

21789801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 21789801 is about 4667.9546912968. The cubic root of 21789801 is about 279.3086729020.

The spelling of 21789801 in words is "twenty-one million, seven hundred eighty-nine thousand, eight hundred one".

Divisors: 1 3 9 11 17 33 51 99 107 121 153 187 321 363 561 963 1089 1177 1331 1683 1819 2057 3531 3993 5457 6171 10593 11979 12947 16371 18513 20009 22627 38841 60027 67881 116523 142417 180081 203643 220099 427251 660297 1281753 1980891 2421089 7263267 21789801