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20765133 = 333124809
BaseRepresentation
bin100111100110…
…1100111001101
31110001222102000
41033031213031
520303441013
62021022513
7341333514
oct117154715
943058360
1020765133
11107a3174
126b54a39
1343c077c
142a8767b
151c52973
hex13cd9cd

20765133 has 16 divisors (see below), whose sum is σ = 31756800. Its totient is φ = 13396320.

The previous prime is 20765123. The next prime is 20765137. The reversal of 20765133 is 33156702.

It is a happy number.

20765133 is a `hidden beast` number, since 2 + 0 + 7 + 651 + 3 + 3 = 666.

It is not a de Polignac number, because 20765133 - 210 = 20764109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20765097 and 20765106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20765137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11568 + ... + 13241.

It is an arithmetic number, because the mean of its divisors is an integer number (1984800).

Almost surely, 220765133 is an apocalyptic number.

It is an amenable number.

20765133 is a deficient number, since it is larger than the sum of its proper divisors (10991667).

20765133 is a wasteful number, since it uses less digits than its factorization.

20765133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24849 (or 24843 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 20765133 is about 4556.8775493752. The cubic root of 20765133 is about 274.8600191170.

The spelling of 20765133 in words is "twenty million, seven hundred sixty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 27 31 93 279 837 24809 74427 223281 669843 769079 2307237 6921711 20765133