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20745333 = 32723103139
BaseRepresentation
bin100111100100…
…0110001110101
31110000222020200
41033020301311
520302322313
62020351113
7341222010
oct117106165
943028220
1020745333
111078a304
126b45499
1343b475b
142a80377
151c4bb73
hex13c8c75

20745333 has 48 divisors (see below), whose sum is σ = 36341760. Its totient is φ = 11148192.

The previous prime is 20745301. The next prime is 20745341. The reversal of 20745333 is 33354702.

20745333 is a `hidden beast` number, since 207 + 453 + 3 + 3 = 666.

It is not a de Polignac number, because 20745333 - 25 = 20745301 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20745297 and 20745306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20745343) 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, 149178 + ... + 149316.

It is an arithmetic number, because the mean of its divisors is an integer number (757120).

Almost surely, 220745333 is an apocalyptic number.

20745333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20745333 is a deficient number, since it is larger than the sum of its proper divisors (15596427).

20745333 is a wasteful number, since it uses less digits than its factorization.

20745333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 20745333 is about 4554.7044909632. The cubic root of 20745333 is about 274.7726296926.

The spelling of 20745333 in words is "twenty million, seven hundred forty-five thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 23 63 69 103 139 161 207 309 417 483 721 927 973 1251 1449 2163 2369 2919 3197 6489 7107 8757 9591 14317 16583 21321 22379 28773 42951 49749 67137 100219 128853 149247 201411 300657 329291 901971 987873 2305037 2963619 6915111 20745333