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4113018 = 23671331
BaseRepresentation
bin1111101100001001111010
321201222000000
433230021322
52023104033
6224053430
746650210
oct17541172
97658000
104113018
11235a198
121464276
13b10150
14790cb0
15563a13
hex3ec27a

4113018 has 112 divisors (see below), whose sum is σ = 11751936. Its totient is φ = 1049760.

The previous prime is 4112989. The next prime is 4113029. The reversal of 4113018 is 8103114.

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

It is a Curzon number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 132663 + ... + 132693.

It is an arithmetic number, because the mean of its divisors is an integer number (104928).

Almost surely, 24113018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875968).

4113018 is an abundant number, since it is smaller than the sum of its proper divisors (7638918).

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

4113018 is a wasteful number, since it uses less digits than its factorization.

4113018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 4113018 is about 2028.0576914871. The cubic root of 4113018 is about 160.2212823638.

Adding to 4113018 its product of nonzero digits (96), we get a palindrome (4113114).

The spelling of 4113018 in words is "four million, one hundred thirteen thousand, eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 81 91 93 117 126 162 182 186 189 217 234 243 273 279 351 378 403 434 486 546 558 567 651 702 729 806 819 837 1053 1134 1209 1302 1458 1638 1674 1701 1953 2106 2418 2457 2511 2821 3159 3402 3627 3906 4914 5022 5103 5642 5859 6318 7254 7371 7533 8463 9477 10206 10881 11718 14742 15066 16926 17577 18954 21762 22113 22599 25389 32643 35154 44226 45198 50778 52731 65286 66339 76167 97929 105462 132678 152334 158193 195858 228501 293787 316386 457002 587574 685503 1371006 2056509 4113018