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13130775 = 335272397
BaseRepresentation
bin110010000101…
…110000010111
3220201010001000
4302011300113
511330141100
61145234343
7216416100
oct62056027
926633030
1013130775
117459389
1244929b3
1329498b8
141a5b3a7
151245900
hexc85c17

13130775 has 72 divisors (see below), whose sum is σ = 28130640. Its totient is φ = 5987520.

The previous prime is 13130773. The next prime is 13130779. The reversal of 13130775 is 57703131.

It is not a de Polignac number, because 13130775 - 21 = 13130773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130773) 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 71 ways as a sum of consecutive naturals, for example, 32877 + ... + 33273.

Almost surely, 213130775 is an apocalyptic number.

13130775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13130775 is an abundant number, since it is smaller than the sum of its proper divisors (14999865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13130775 is a wasteful number, since it uses less digits than its factorization.

13130775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 13130775 is about 3623.6411246149. The cubic root of 13130775 is about 235.9192903654.

The spelling of 13130775 in words is "thirteen million, one hundred thirty thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 135 147 175 189 225 245 315 397 441 525 675 735 945 1191 1225 1323 1575 1985 2205 2779 3573 3675 4725 5955 6615 8337 9925 10719 11025 13895 17865 19453 25011 29775 33075 41685 53595 58359 69475 75033 89325 97265 125055 175077 208425 267975 291795 375165 486325 525231 625275 875385 1458975 1875825 2626155 4376925 13130775