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20007 = 341319
BaseRepresentation
bin100111000100111
31000110000
410320213
51120012
6232343
7112221
oct47047
930400
1020007
1114039
12b6b3
139150
147411
155ddc
hex4e27

20007 has 20 divisors (see below), whose sum is σ = 33880. Its totient is φ = 11664.

The previous prime is 19997. The next prime is 20011. The reversal of 20007 is 70002.

20007 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

20007 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 20007 - 24 = 19991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1044 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (1694).

220007 is an apocalyptic number.

20007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20007 is a deficient number, since it is larger than the sum of its proper divisors (13873).

20007 is a wasteful number, since it uses less digits than its factorization.

20007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

The square root of 20007 is about 141.4461028095. The cubic root of 20007 is about 27.1473426171.

Adding to 20007 its reverse (70002), we get a palindrome (90009).

The spelling of 20007 in words is "twenty thousand, seven", and thus it is an iban number.

Divisors: 1 3 9 13 19 27 39 57 81 117 171 247 351 513 741 1053 1539 2223 6669 20007