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20772765 = 3251335509
BaseRepresentation
bin100111100111…
…1011110011101
31110002100212200
41033033132131
520304212030
62021122113
7341364666
oct117173635
943070780
1020772765
11107a8982
126b59339
1343c40a0
142a8a36d
151c54d60
hex13cf79d

20772765 has 24 divisors (see below), whose sum is σ = 38776920. Its totient is φ = 10226304.

The previous prime is 20772761. The next prime is 20772769. The reversal of 20772765 is 56727702.

It is an interprime number because it is at equal distance from previous prime (20772761) and next prime (20772769).

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 20548089 = 474^2 + 4533^2 .

It is not a de Polignac number, because 20772765 - 22 = 20772761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20772761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17170 + ... + 18339.

It is an arithmetic number, because the mean of its divisors is an integer number (1615705).

Almost surely, 220772765 is an apocalyptic number.

It is an amenable number.

20772765 is a deficient number, since it is larger than the sum of its proper divisors (18004155).

20772765 is a wasteful number, since it uses less digits than its factorization.

20772765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35533 (or 35530 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 20772765 is about 4557.7148879674. The cubic root of 20772765 is about 274.8936889345.

The spelling of 20772765 in words is "twenty million, seven hundred seventy-two thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 35509 106527 177545 319581 461617 532635 1384851 1597905 2308085 4154553 6924255 20772765