Search a number
-
+
18102128 = 2411163631
BaseRepresentation
bin100010100001…
…1011101110000
31021001200110012
41011003131300
514113232003
61443554052
7306602612
oct105033560
937050405
1018102128
11a244440
12608b928
13399a625
142592db2
1518c88d8
hex1143770

18102128 has 40 divisors (see below), whose sum is σ = 38557056. Its totient is φ = 8164800.

The previous prime is 18102121. The next prime is 18102131. The reversal of 18102128 is 82120181.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18102121) 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 7 ways as a sum of consecutive naturals, for example, 28373 + ... + 29003.

Almost surely, 218102128 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 18102128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278528).

18102128 is an abundant number, since it is smaller than the sum of its proper divisors (20454928).

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

18102128 is a wasteful number, since it uses less digits than its factorization.

18102128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 18102128 is about 4254.6595633493. The cubic root of 18102128 is about 262.5688551044.

The spelling of 18102128 in words is "eighteen million, one hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 163 176 326 631 652 1262 1304 1793 2524 2608 3586 5048 6941 7172 10096 13882 14344 27764 28688 55528 102853 111056 205706 411412 822824 1131383 1645648 2262766 4525532 9051064 18102128