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18190128 = 2431147733
BaseRepresentation
bin100010101100…
…0111100110000
31021020011011110
41011120330300
514124041003
61445513320
7310420305
oct105307460
937204143
1018190128
11a2a4570
126112840
1339cb6b8
1425b70ac
1518e4a03
hex1158f30

18190128 has 80 divisors (see below), whose sum is σ = 52425216. Its totient is φ = 5387520.

The previous prime is 18190127. The next prime is 18190223. The reversal of 18190128 is 82109181.

It is a junction number, because it is equal to n+sod(n) for n = 18190095 and 18190104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18190121) 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, 24450 + ... + 25182.

Almost surely, 218190128 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 18190128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26212608).

18190128 is an abundant number, since it is smaller than the sum of its proper divisors (34235088).

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

18190128 is a wasteful number, since it uses less digits than its factorization.

18190128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 18190128 is about 4264.9886283553. The cubic root of 18190128 is about 262.9936434343.

It can be divided in two parts, 181 and 90128, that added together give a palindrome (90309).

The spelling of 18190128 in words is "eighteen million, one hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 733 752 1034 1128 1466 1551 2068 2199 2256 2932 3102 4136 4398 5864 6204 8063 8272 8796 11728 12408 16126 17592 24189 24816 32252 34451 35184 48378 64504 68902 96756 103353 129008 137804 193512 206706 275608 378961 387024 413412 551216 757922 826824 1136883 1515844 1653648 2273766 3031688 4547532 6063376 9095064 18190128