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13418361 = 3211237183
BaseRepresentation
bin110011001011…
…111101111001
3221020201112100
4303023331321
511413341421
61155334013
7222024405
oct63137571
927221470
1013418361
117635460
1245b1309
132a1a778
141ad4105
1512a0c26
hexccbf79

13418361 has 48 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 7576800.

The previous prime is 13418347. The next prime is 13418369. The reversal of 13418361 is 16381431.

13418361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13418361 - 211 = 13416313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13418369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161626 + ... + 161708.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 213418361 is an apocalyptic number.

13418361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13418361 is a deficient number, since it is larger than the sum of its proper divisors (9225351).

13418361 is a wasteful number, since it uses less digits than its factorization.

13418361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 13418361 is about 3663.1081065128. The cubic root of 13418361 is about 237.6292098395.

Adding to 13418361 its reverse (16381431), we get a palindrome (29799792).

The spelling of 13418361 in words is "thirteen million, four hundred eighteen thousand, three hundred sixty-one".

Divisors: 1 3 9 11 23 33 69 71 83 99 207 213 249 253 639 747 759 781 913 1633 1909 2277 2343 2739 4899 5727 5893 7029 8217 14697 17181 17679 17963 20999 53037 53889 62997 64823 135539 161667 188991 194469 406617 583407 1219851 1490929 4472787 13418361