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418068 = 22337279
BaseRepresentation
bin1100110000100010100
3210020111000
41212010110
5101334233
612543300
73360600
oct1460424
9706430
10418068
11266112
12181b30
131183a1
14ac500
1583d13
hex66114

418068 has 72 divisors (see below), whose sum is σ = 1276800. Its totient is φ = 117936.

The previous prime is 418051. The next prime is 418069. The reversal of 418068 is 860814.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 418068.

It is not an unprimeable number, because it can be changed into a prime (418069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5253 + ... + 5331.

2418068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638400).

418068 is an abundant number, since it is smaller than the sum of its proper divisors (858732).

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

418068 is a wasteful number, since it uses less digits than its factorization.

418068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 418068 is about 646.5817813703. The cubic root of 418068 is about 74.7737179725.

It can be divided in two parts, 41806 and 8, that added together give a palindrome (41814).

The spelling of 418068 in words is "four hundred eighteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 79 84 98 108 126 147 158 189 196 237 252 294 316 378 441 474 553 588 711 756 882 948 1106 1323 1422 1659 1764 2133 2212 2646 2844 3318 3871 4266 4977 5292 6636 7742 8532 9954 11613 14931 15484 19908 23226 29862 34839 46452 59724 69678 104517 139356 209034 418068