Search a number
-
+
13731318 = 2324491699
BaseRepresentation
bin110100011000…
…010111110110
3221211121211100
4310120113312
512003400233
61210150530
7224466666
oct64302766
927747740
1013731318
1178295a7
124722446
132aca053
141b761a6
151313813
hexd185f6

13731318 has 24 divisors (see below), whose sum is σ = 29835000. Its totient is φ = 4564224.

The previous prime is 13731317. The next prime is 13731323. The reversal of 13731318 is 81313731.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 13731291 and 13731300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7233 + ... + 8931.

It is an arithmetic number, because the mean of its divisors is an integer number (1243125).

Almost surely, 213731318 is an apocalyptic number.

13731318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13731318 is an abundant number, since it is smaller than the sum of its proper divisors (16103682).

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

13731318 is a wasteful number, since it uses less digits than its factorization.

13731318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2153 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 13731318 is about 3705.5793069370. The cubic root of 13731318 is about 239.4624426996.

The spelling of 13731318 in words is "thirteen million, seven hundred thirty-one thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 449 898 1347 1699 2694 3398 4041 5097 8082 10194 15291 30582 762851 1525702 2288553 4577106 6865659 13731318