Search a number
-
+
18138330 = 234572457
BaseRepresentation
bin100010100110…
…0010011011010
31021010112010000
41011030103122
514120411310
61444433430
7310113300
oct105142332
937115100
1018138330
11a269661
1260a8876
1339b0c52
1425a2270
1518d44c0
hex114c4da

18138330 has 120 divisors (see below), whose sum is σ = 56858868. Its totient is φ = 4136832.

The previous prime is 18138247. The next prime is 18138343. The reversal of 18138330 is 3383181.

It can be written as a sum of positive squares in 2 ways, for example, as 17816841 + 321489 = 4221^2 + 567^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 18138294 and 18138303.

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 59 ways as a sum of consecutive naturals, for example, 39462 + ... + 39918.

Almost surely, 218138330 is an apocalyptic number.

18138330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18138330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28429434).

18138330 is an abundant number, since it is smaller than the sum of its proper divisors (38720538).

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

18138330 is a wasteful number, since it uses less digits than its factorization.

18138330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 18138330 is about 4258.9118328512. The cubic root of 18138330 is about 262.7437735469.

The spelling of 18138330 in words is "eighteen million, one hundred thirty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 457 490 567 630 735 810 882 914 945 1134 1323 1371 1470 1890 2205 2285 2646 2742 2835 3199 3969 4113 4410 4570 5670 6398 6615 6855 7938 8226 9597 12339 13230 13710 15995 19194 19845 20565 22393 24678 28791 31990 37017 39690 41130 44786 47985 57582 61695 67179 74034 86373 95970 111965 123390 134358 143955 172746 185085 201537 223930 259119 287910 335895 370170 403074 431865 518238 604611 671790 863730 1007685 1209222 1295595 1813833 2015370 2591190 3023055 3627666 6046110 9069165 18138330