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21357729 = 3317193179
BaseRepresentation
bin101000101111…
…0010010100001
31111012002022000
41101132102201
520431421404
62041434213
7346352301
oct121362241
944162260
1021357729
1111068418
12719b969
13456a413
142b9d601
151d1d339
hex145e4a1

21357729 has 64 divisors (see below), whose sum is σ = 36864000. Its totient is φ = 12130560.

The previous prime is 21357719. The next prime is 21357773. The reversal of 21357729 is 92775312.

21357729 = T190 + T191 + ... + T512.

It is not a de Polignac number, because 21357729 - 25 = 21357697 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21357693 and 21357702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21357709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270312 + ... + 270390.

It is an arithmetic number, because the mean of its divisors is an integer number (576000).

Almost surely, 221357729 is an apocalyptic number.

It is an amenable number.

21357729 is a deficient number, since it is larger than the sum of its proper divisors (15506271).

21357729 is a wasteful number, since it uses less digits than its factorization.

21357729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 21357729 is about 4621.4423073322. The cubic root of 21357729 is about 277.4501882835.

The spelling of 21357729 in words is "twenty-one million, three hundred fifty-seven thousand, seven hundred twenty-nine".

Divisors: 1 3 9 17 19 27 31 51 57 79 93 153 171 237 279 323 459 513 527 589 711 837 969 1343 1501 1581 1767 2133 2449 2907 4029 4503 4743 5301 7347 8721 10013 12087 13509 14229 15903 22041 25517 30039 36261 40527 41633 46531 66123 76551 90117 124899 139593 229653 270351 374697 418779 688959 791027 1124091 1256337 2373081 7119243 21357729