Search a number
-
+
18125700 = 22352311949
BaseRepresentation
bin100010100100…
…1001110000100
31021002212210020
41011021032010
514120010300
61444255140
7310031415
oct105111604
937085706
1018125700
11a26011a
1260a14b0
1339a8288
14259b80c
1518d08a0
hex1149384

18125700 has 72 divisors (see below), whose sum is σ = 54163200. Its totient is φ = 4675200.

The previous prime is 18125699. The next prime is 18125707. The reversal of 18125700 is 752181.

It is not an unprimeable number, because it can be changed into a prime (18125707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8326 + ... + 10274.

Almost surely, 218125700 is an apocalyptic number.

18125700 is a gapful number since it is divisible by the number (10) 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 18125700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27081600).

18125700 is an abundant number, since it is smaller than the sum of its proper divisors (36037500).

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

18125700 is a wasteful number, since it uses less digits than its factorization.

18125700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 18125700 is about 4257.4288015186. The cubic root of 18125700 is about 262.6827752009.

Adding to 18125700 its reverse (752181), we get a palindrome (18877881).

The spelling of 18125700 in words is "eighteen million, one hundred twenty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 1949 2325 3100 3898 4650 5847 7796 9300 9745 11694 19490 23388 29235 38980 48725 58470 60419 97450 116940 120838 146175 181257 194900 241676 292350 302095 362514 584700 604190 725028 906285 1208380 1510475 1812570 3020950 3625140 4531425 6041900 9062850 18125700