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20967933 = 3744171
BaseRepresentation
bin100111111111…
…1000111111101
31110110021121010
41033333013331
520331433213
62025225433
7343140000
oct117770775
943407533
1020967933
1110921578
127032279
134461b7c
142adb537
151c92ac3
hex13ff1fd

20967933 has 40 divisors (see below), whose sum is σ = 33880896. Its totient is φ = 11524800.

The previous prime is 20967923. The next prime is 20967949. The reversal of 20967933 is 33976902.

It is not a de Polignac number, because 20967933 - 24 = 20967917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20967891 and 20967900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20967923) 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 39 ways as a sum of consecutive naturals, for example, 295288 + ... + 295358.

Almost surely, 220967933 is an apocalyptic number.

It is an amenable number.

20967933 is a deficient number, since it is larger than the sum of its proper divisors (12912963).

20967933 is an frugal number, since it uses more digits than its factorization.

20967933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 20967933 is about 4579.0755617264. The cubic root of 20967933 is about 275.7519168584.

The spelling of 20967933 in words is "twenty million, nine hundred sixty-seven thousand, nine hundred thirty-three".

Divisors: 1 3 7 21 41 49 71 123 147 213 287 343 497 861 1029 1491 2009 2401 2911 3479 6027 7203 8733 10437 14063 20377 24353 42189 61131 73059 98441 142639 170471 295323 427917 511413 998473 2995419 6989311 20967933