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13682718 = 2327312113
BaseRepresentation
bin110100001100…
…100000011110
3221202011011100
4310030200132
512000321333
61205133530
7224205210
oct64144036
927664140
1013682718
1177a6035
1246ba2a6
132ab0baa
141b625b0
151304213
hexd0c81e

13682718 has 72 divisors (see below), whose sum is σ = 35319024. Its totient is φ = 3749760.

The previous prime is 13682701. The next prime is 13682719. The reversal of 13682718 is 81728631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13682719) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121030 + ... + 121142.

It is an arithmetic number, because the mean of its divisors is an integer number (490542).

Almost surely, 213682718 is an apocalyptic number.

13682718 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13682718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17659512).

13682718 is an abundant number, since it is smaller than the sum of its proper divisors (21636306).

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

13682718 is a wasteful number, since it uses less digits than its factorization.

13682718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 156 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13682718 is about 3699.0158150513. The cubic root of 13682718 is about 239.1795945912.

It can be divided in two parts, 13682 and 718, that added together give a square (14400 = 1202).

The spelling of 13682718 in words is "thirteen million, six hundred eighty-two thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 113 126 186 217 226 279 339 434 558 651 678 791 961 1017 1302 1582 1922 1953 2034 2373 2883 3503 3906 4746 5766 6727 7006 7119 8649 10509 13454 14238 17298 20181 21018 24521 31527 40362 49042 60543 63054 73563 108593 121086 147126 217186 220689 325779 441378 651558 760151 977337 1520302 1954674 2280453 4560906 6841359 13682718