Search a number
-
+
8414118 = 23629199
BaseRepresentation
bin100000000110…
…001110100110
3120211111000000
4200012032212
54123222433
6500202130
7131342646
oct40061646
916744000
108414118
114827719
122999346
131987a8b
141190526
15b13113
hex8063a6

8414118 has 56 divisors (see below), whose sum is σ = 19674000. Its totient is φ = 2694384.

The previous prime is 8414117. The next prime is 8414137. The reversal of 8414118 is 8114148.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8414091 and 8414100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8414117) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 42183 + ... + 42381.

Almost surely, 28414118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8414118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9837000).

8414118 is an abundant number, since it is smaller than the sum of its proper divisors (11259882).

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

8414118 is a wasteful number, since it uses less digits than its factorization.

8414118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 8414118 is about 2900.7099131075. The cubic root of 8414118 is about 203.3930924117.

The spelling of 8414118 in words is "eight million, four hundred fourteen thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 199 243 261 398 486 522 597 729 783 1194 1458 1566 1791 2349 3582 4698 5373 5771 7047 10746 11542 14094 16119 17313 21141 32238 34626 42282 48357 51939 96714 103878 145071 155817 290142 311634 467451 934902 1402353 2804706 4207059 8414118