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20779733 = 132122957
BaseRepresentation
bin100111101000…
…1001011010101
31110002201102202
41033101023111
520304422413
62021214245
7341424212
oct117211325
943081382
1020779733
1110803137
126b61385
1343c7300
142a8cb09
151c56e58
hex13d12d5

20779733 has 6 divisors (see below), whose sum is σ = 22501314. Its totient is φ = 19181136.

The previous prime is 20779727. The next prime is 20779739. The reversal of 20779733 is 33797702.

It is an interprime number because it is at equal distance from previous prime (20779727) and next prime (20779739).

It can be written as a sum of positive squares in 3 ways, for example, as 1787569 + 18992164 = 1337^2 + 4358^2 .

It is not a de Polignac number, because 20779733 - 28 = 20779477 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20779739) 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 5 ways as a sum of consecutive naturals, for example, 61310 + ... + 61647.

It is an arithmetic number, because the mean of its divisors is an integer number (3750219).

Almost surely, 220779733 is an apocalyptic number.

It is an amenable number.

20779733 is a deficient number, since it is larger than the sum of its proper divisors (1721581).

20779733 is a wasteful number, since it uses less digits than its factorization.

20779733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122983 (or 122970 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 38.

The square root of 20779733 is about 4558.4792420280. The cubic root of 20779733 is about 274.9244222062.

It can be divided in two parts, 20779 and 733, that added together give a palindrome (21512).

The spelling of 20779733 in words is "twenty million, seven hundred seventy-nine thousand, seven hundred thirty-three".

Divisors: 1 13 169 122957 1598441 20779733