[go: up one dir, main page]

Search a number
-
+
13018005 = 32571113172
BaseRepresentation
bin110001101010…
…001110010101
3220111101100100
4301222032111
511313034010
61143004313
7215436240
oct61521625
926441310
1013018005
117391690
124439699
13290a480
141a2c257
1512222c0
hexc6a395

13018005 has 144 divisors (see below), whose sum is σ = 32183424. Its totient is φ = 4700160.

The previous prime is 13018003. The next prime is 13018009. The reversal of 13018005 is 50081031.

13018005 = 432 + 442 + ... + 3392.

It is a happy number.

13018005 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 13018005 - 21 = 13018003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13018001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 765757 + ... + 765773.

It is an arithmetic number, because the mean of its divisors is an integer number (223496).

Almost surely, 213018005 is an apocalyptic number.

13018005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13018005 is an abundant number, since it is smaller than the sum of its proper divisors (19165419).

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

13018005 is a wasteful number, since it uses less digits than its factorization.

13018005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 13018005 is about 3608.0472557881. The cubic root of 13018005 is about 235.2419719799.

Adding to 13018005 its reverse (50081031), we get a palindrome (63099036).

The spelling of 13018005 in words is "thirteen million, eighteen thousand, five".

Divisors: 1 3 5 7 9 11 13 15 17 21 33 35 39 45 51 55 63 65 77 85 91 99 105 117 119 143 153 165 187 195 221 231 255 273 289 315 357 385 429 455 495 561 585 595 663 693 715 765 819 867 935 1001 1071 1105 1155 1287 1309 1365 1445 1547 1683 1785 1989 2023 2145 2431 2601 2805 3003 3179 3315 3465 3757 3927 4095 4335 4641 5005 5355 6069 6435 6545 7293 7735 8415 9009 9537 9945 10115 11271 11781 12155 13005 13923 15015 15895 17017 18207 18785 19635 21879 22253 23205 26299 28611 30345 33813 36465 41327 45045 47685 51051 56355 58905 66759 69615 78897 85085 91035 109395 111265 123981 131495 143055 153153 169065 200277 206635 236691 255255 289289 333795 371943 394485 619905 765765 867867 1001385 1183455 1446445 1859715 2603601 4339335 13018005