Search a number
-
+
18400116 = 2237534133
BaseRepresentation
bin100011000110…
…0001101110100
31021121211012210
41012030031310
514202300431
61454213420
7312253440
oct106141564
937554183
1018400116
11a428309
1261b4270
133a73157
14262d820
151936d46
hex118c374

18400116 has 48 divisors (see below), whose sum is σ = 50004864. Its totient is φ = 5156736.

The previous prime is 18400111. The next prime is 18400117. The reversal of 18400116 is 61100481.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 18400092 and 18400101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18400111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2386 + ... + 6518.

It is an arithmetic number, because the mean of its divisors is an integer number (1041768).

Almost surely, 218400116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18400116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25002432).

18400116 is an abundant number, since it is smaller than the sum of its proper divisors (31604748).

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

18400116 is a wasteful number, since it uses less digits than its factorization.

18400116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 18400116 is about 4289.5356392039. The cubic root of 18400116 is about 264.0017791432.

Adding to 18400116 its reverse (61100481), we get a palindrome (79500597).

The spelling of 18400116 in words is "eighteen million, four hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4133 4452 8266 12399 16532 24798 28931 49596 57862 86793 115724 173586 219049 347172 438098 657147 876196 1314294 1533343 2628588 3066686 4600029 6133372 9200058 18400116