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20763 = 33769
BaseRepresentation
bin101000100011011
31001111000
411010123
51131023
6240043
7114351
oct50433
931430
1020763
1114666
1210023
1395b2
1477d1
156243
hex511b

20763 has 8 divisors (see below), whose sum is σ = 30800. Its totient is φ = 13824.

The previous prime is 20759. The next prime is 20771. The reversal of 20763 is 36702.

It is not a de Polignac number, because 20763 - 22 = 20759 is a prime.

It is a super-2 number, since 2×207632 = 862204338, which contains 22 as substring.

It is a Duffinian number.

20763 is a lucky number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (20743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (3850).

220763 is an apocalyptic number.

20763 is a deficient number, since it is larger than the sum of its proper divisors (10037).

20763 is an equidigital number, since it uses as much as digits as its factorization.

20763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 20763 is about 144.0937195023. The cubic root of 20763 is about 27.4850607563.

It can be divided in two parts, 207 and 63, that multiplied together give a triangular number (13041 = T161).

The spelling of 20763 in words is "twenty thousand, seven hundred sixty-three".

Divisors: 1 3 9 27 769 2307 6921 20763