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20963329 = 171379001
BaseRepresentation
bin100111111111…
…0000000000001
31110110001021121
41033332000001
520331311304
62025152241
7343120402
oct117760001
943401247
1020963329
1110919072
12702b681
13445ca4a
142ad99a9
151c91554
hex13fe001

20963329 has 8 divisors (see below), whose sum is σ = 22360968. Its totient is φ = 19584000.

The previous prime is 20963287. The next prime is 20963339. The reversal of 20963329 is 92336902.

It can be written as a sum of positive squares in 4 ways, for example, as 3323329 + 17640000 = 1823^2 + 4200^2 .

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

It is not a de Polignac number, because 20963329 - 29 = 20962817 is a prime.

It is a super-2 number, since 2×209633292 = 878922325524482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20963294 and 20963303.

It is not an unprimeable number, because it can be changed into a prime (20963339) 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, 2172 + ... + 6829.

It is an arithmetic number, because the mean of its divisors is an integer number (2795121).

It is a Proth number, since it is equal to 2559 ⋅ 213 + 1 and 2559 < 213.

Almost surely, 220963329 is an apocalyptic number.

It is an amenable number.

20963329 is a deficient number, since it is larger than the sum of its proper divisors (1397639).

20963329 is a wasteful number, since it uses less digits than its factorization.

20963329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9155.

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 20963329 is about 4578.5728125694. The cubic root of 20963329 is about 275.7317327872.

The spelling of 20963329 in words is "twenty million, nine hundred sixty-three thousand, three hundred twenty-nine".

Divisors: 1 17 137 2329 9001 153017 1233137 20963329