Search a number
-
+
18410040 = 23325114649
BaseRepresentation
bin100011000111…
…0101000111000
31021122022211100
41012032220320
514203110130
61454331400
7312324405
oct106165070
937568740
1018410040
11a434810
1261b9b60
133a7781c
1426332ac
151939c60
hex118ea38

18410040 has 96 divisors (see below), whose sum is σ = 65286000. Its totient is φ = 4462080.

The previous prime is 18410039. The next prime is 18410057. The reversal of 18410040 is 4001481.

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

It is a junction number, because it is equal to n+sod(n) for n = 18409995 and 18410022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636 + ... + 6284.

Almost surely, 218410040 is an apocalyptic number.

18410040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643000).

18410040 is an abundant number, since it is smaller than the sum of its proper divisors (46875960).

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

18410040 is a wasteful number, since it uses less digits than its factorization.

18410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4670 counting only the distinct ones).

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

The square root of 18410040 is about 4290.6922518400. The cubic root of 18410040 is about 264.0492332422.

The spelling of 18410040 in words is "eighteen million, four hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 4649 9298 13947 18596 23245 27894 37192 41841 46490 51139 55788 69735 83682 92980 102278 111576 139470 153417 167364 185960 204556 209205 255695 278940 306834 334728 409112 418410 460251 511390 557880 613668 767085 836820 920502 1022780 1227336 1534170 1673640 1841004 2045560 2301255 3068340 3682008 4602510 6136680 9205020 18410040