Search a number
-
+
18035136 = 26347271
BaseRepresentation
bin100010011001…
…1000111000000
31020221021120000
41010303013000
514104111021
61442320000
7306203400
oct104630700
936837500
1018035136
11a1a9079
126059000
133975ca2
142576800
1518b3b26
hex11331c0

18035136 has 210 divisors, whose sum is σ = 63066168. Its totient is φ = 5080320.

The previous prime is 18035107. The next prime is 18035141. The reversal of 18035136 is 63153081.

It is a super-2 number, since 2×180351362 = 650532261076992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253981 + ... + 254051.

Almost surely, 218035136 is an apocalyptic number.

18035136 is a gapful number since it is divisible by the number (16) 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 18035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31533084).

18035136 is an abundant number, since it is smaller than the sum of its proper divisors (45031032).

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

18035136 is an equidigital number, since it uses as much as digits as its factorization.

18035136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 18035136 is about 4246.7794856809. The cubic root of 18035136 is about 262.2445514942.

The spelling of 18035136 in words is "eighteen million, thirty-five thousand, one hundred thirty-six".