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19712329 = 713219877
BaseRepresentation
bin100101100110…
…0100101001001
31101002111020021
41023030211021
520021243304
61542300441
7326360230
oct113144511
941074207
1019712329
111014418a
126727721
134112500
142891b17
151ae5a54
hex12cc949

19712329 has 24 divisors (see below), whose sum is σ = 25707840. Its totient is φ = 14758848.

The previous prime is 19712321. The next prime is 19712339. The reversal of 19712329 is 92321791.

It is a happy number.

It is not a de Polignac number, because 19712329 - 23 = 19712321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19712294 and 19712303.

It is not an unprimeable number, because it can be changed into a prime (19712321) 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 23 ways as a sum of consecutive naturals, for example, 22039 + ... + 22915.

It is an arithmetic number, because the mean of its divisors is an integer number (1071160).

Almost surely, 219712329 is an apocalyptic number.

19712329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

19712329 is a deficient number, since it is larger than the sum of its proper divisors (5995511).

19712329 is a wasteful number, since it uses less digits than its factorization.

19712329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 916 counting only the distinct ones).

The product of its digits is 6804, while the sum is 34.

The square root of 19712329 is about 4439.8568670623. The cubic root of 19712329 is about 270.1340395274.

The spelling of 19712329 in words is "nineteen million, seven hundred twelve thousand, three hundred twenty-nine".

Divisors: 1 7 13 19 91 133 169 247 877 1183 1729 3211 6139 11401 16663 22477 79807 116641 148213 216619 1037491 1516333 2816047 19712329