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404118 = 2321113157
BaseRepresentation
bin1100010101010010110
3202112100100
41202222112
5100412433
612354530
73302121
oct1425226
9675310
10404118
11256690
12175a46
13111c30
14a73b8
157eb13
hex62a96

404118 has 48 divisors (see below), whose sum is σ = 1035216. Its totient is φ = 112320.

The previous prime is 404113. The next prime is 404119. The reversal of 404118 is 811404.

It is a super-2 number, since 2×4041182 = 326622715848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 404118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404113) by changing a digit.

404118 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2496 + ... + 2652.

It is an arithmetic number, because the mean of its divisors is an integer number (21567).

2404118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517608).

404118 is an abundant number, since it is smaller than the sum of its proper divisors (631098).

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

404118 is a wasteful number, since it uses less digits than its factorization.

404118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 404118 is about 635.7027607302. The cubic root of 404118 is about 73.9326145757.

The spelling of 404118 in words is "four hundred four thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 157 198 234 286 314 429 471 858 942 1287 1413 1727 2041 2574 2826 3454 4082 5181 6123 10362 12246 15543 18369 22451 31086 36738 44902 67353 134706 202059 404118