Search a number
-
+
116018190 = 2335597283
BaseRepresentation
bin1101110101001…
…00110000001110
322002022100001000
412322210300032
5214200040230
615302401130
72606065311
oct672446016
9262270030
10116018190
115a542202
1232a301a6
131b061722
14115a0978
15a2bab60
hex6ea4c0e

116018190 has 64 divisors (see below), whose sum is σ = 314668800. Its totient is φ = 30409632.

The previous prime is 116018179. The next prime is 116018191. The reversal of 116018190 is 91810611.

It is a super-2 number, since 2×1160181902 = 26920440821752200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116018191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12289 + ... + 19571.

It is an arithmetic number, because the mean of its divisors is an integer number (4916700).

Almost surely, 2116018190 is an apocalyptic number.

116018190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116018190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157334400).

116018190 is an abundant number, since it is smaller than the sum of its proper divisors (198650610).

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

116018190 is a wasteful number, since it uses less digits than its factorization.

116018190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 116018190 is about 10771.1740307174. The cubic root of 116018190 is about 487.7253869046.

It can be divided in two parts, 11601 and 8190, that added together give a palindrome (19791).

The spelling of 116018190 in words is "one hundred sixteen million, eighteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1593 1770 2655 3186 5310 7283 7965 14566 15930 21849 36415 43698 65547 72830 109245 131094 196641 218490 327735 393282 429697 655470 859394 983205 1289091 1966410 2148485 2578182 3867273 4296970 6445455 7734546 11601819 12890910 19336365 23203638 38672730 58009095 116018190