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13006983 = 3112317137
BaseRepresentation
bin110001100111…
…100010000111
3220110211020010
4301213202013
511312210413
61142441303
7215362143
oct61474207
926424203
1013006983
117384380
124433233
132905452
141a28223
15121ddc3
hexc67887

13006983 has 16 divisors (see below), whose sum is σ = 19742976. Its totient is φ = 7539840.

The previous prime is 13006967. The next prime is 13006997. The reversal of 13006983 is 38960031.

13006983 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13006983 - 24 = 13006967 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13006983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7810 + ... + 9327.

It is an arithmetic number, because the mean of its divisors is an integer number (1233936).

Almost surely, 213006983 is an apocalyptic number.

13006983 is a deficient number, since it is larger than the sum of its proper divisors (6735993).

13006983 is a wasteful number, since it uses less digits than its factorization.

13006983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17174.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13006983 is about 3606.5195133258. The cubic root of 13006983 is about 235.1755621851.

The spelling of 13006983 in words is "thirteen million, six thousand, nine hundred eighty-three".

Divisors: 1 3 11 23 33 69 253 759 17137 51411 188507 394151 565521 1182453 4335661 13006983