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20760961 = 131793941
BaseRepresentation
bin100111100110…
…0100110000001
31110001202200111
41033030212001
520303322321
62020551321
7341315404
oct117144601
943052614
1020760961
11107a0021
126b52541
1343bb8c0
142a85d3b
151c515e1
hex13cc981

20760961 has 8 divisors (see below), whose sum is σ = 23673384. Its totient is φ = 18036480.

The previous prime is 20760947. The next prime is 20760967. The reversal of 20760961 is 16906702.

It can be written as a sum of positive squares in 4 ways, for example, as 913936 + 19847025 = 956^2 + 4455^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20760961 - 219 = 20236673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20760967) 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 7 ways as a sum of consecutive naturals, for example, 46750 + ... + 47191.

It is an arithmetic number, because the mean of its divisors is an integer number (2959173).

Almost surely, 220760961 is an apocalyptic number.

It is an amenable number.

20760961 is a deficient number, since it is larger than the sum of its proper divisors (2912423).

20760961 is a wasteful number, since it uses less digits than its factorization.

20760961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93971.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 20760961 is about 4556.4197567827. The cubic root of 20760961 is about 274.8416101682.

The spelling of 20760961 in words is "twenty million, seven hundred sixty thousand, nine hundred sixty-one".

Divisors: 1 13 17 221 93941 1221233 1596997 20760961