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13382061 = 3711193049
BaseRepresentation
bin110011000011…
…000110101101
3221011212201220
4303003012231
511411211221
61154453553
7221513520
oct63030655
927155656
1013382061
117610160
1245942b9
132a070a4
141ac4bb7
1512950c6
hexcc31ad

13382061 has 32 divisors (see below), whose sum is σ = 23424000. Its totient is φ = 6583680.

The previous prime is 13382059. The next prime is 13382081. The reversal of 13382061 is 16028331.

13382061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13382061 - 21 = 13382059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13382051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2865 + ... + 5913.

It is an arithmetic number, because the mean of its divisors is an integer number (732000).

Almost surely, 213382061 is an apocalyptic number.

13382061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13382061 is a deficient number, since it is larger than the sum of its proper divisors (10041939).

13382061 is a wasteful number, since it uses less digits than its factorization.

13382061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13382061 is about 3658.1499422522. The cubic root of 13382061 is about 237.4147343044.

The spelling of 13382061 in words is "thirteen million, three hundred eighty-two thousand, sixty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 3049 4389 9147 21343 33539 57931 64029 100617 173793 234773 405517 637241 704319 1216551 1911723 4460687 13382061