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20006319 = 341311523
BaseRepresentation
bin100110001010…
…0010110101111
31101122102111210
41030110112233
520110200234
61552445503
7332023314
oct114242657
941572453
1020006319
1110325053
126849893
1341b6278
14292ad0b
151b52be9
hex13145af

20006319 has 16 divisors (see below), whose sum is σ = 27465984. Its totient is φ = 12945600.

The previous prime is 20006279. The next prime is 20006339. The reversal of 20006319 is 91360002.

It is not a de Polignac number, because 20006319 - 29 = 20005807 is a prime.

It is a super-2 number, since 2×200063192 = 800505599859522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20006295 and 20006304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006339) 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 15 ways as a sum of consecutive naturals, for example, 37992 + ... + 38514.

It is an arithmetic number, because the mean of its divisors is an integer number (1716624).

Almost surely, 220006319 is an apocalyptic number.

20006319 is a deficient number, since it is larger than the sum of its proper divisors (7459665).

20006319 is a wasteful number, since it uses less digits than its factorization.

20006319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 20006319 is about 4472.8423848823. The cubic root of 20006319 is about 271.4703459908.

The spelling of 20006319 in words is "twenty million, six thousand, three hundred nineteen".

Divisors: 1 3 41 123 311 523 933 1569 12751 21443 38253 64329 162653 487959 6668773 20006319