Search a number
-
+
18340120 = 2354153211
BaseRepresentation
bin100010111110…
…1100100011000
31021111202220201
41011331210120
514143340440
61453031544
7311613511
oct105754430
937452821
1018340120
11a397227
1261855b4
133a51a56
142615a08
15192419a
hex117d918

18340120 has 64 divisors (see below), whose sum is σ = 43273440. Its totient is φ = 6988800.

The previous prime is 18340061. The next prime is 18340139. The reversal of 18340120 is 2104381.

It is a super-2 number, since 2×183401202 = 672720003228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86815 + ... + 87025.

Almost surely, 218340120 is an apocalyptic number.

18340120 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 18340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21636720).

18340120 is an abundant number, since it is smaller than the sum of its proper divisors (24933320).

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

18340120 is a wasteful number, since it uses less digits than its factorization.

18340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 18340120 is about 4282.5366314837. The cubic root of 18340120 is about 263.7145291951.

The spelling of 18340120 in words is "eighteen million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 53 82 106 164 205 211 212 265 328 410 422 424 530 820 844 1055 1060 1640 1688 2110 2120 2173 4220 4346 8440 8651 8692 10865 11183 17302 17384 21730 22366 34604 43255 43460 44732 55915 69208 86510 86920 89464 111830 173020 223660 346040 447320 458503 917006 1834012 2292515 3668024 4585030 9170060 18340120