Search a number
-
+
18120300 = 223521117219
BaseRepresentation
bin100010100011…
…1111001101100
31021002121101020
41011013321230
514114322200
61444214140
7310006602
oct105077154
937077336
1018120300
11a257060
12609a350
1339a5993
142599872
1518cdea0
hex1147e6c

18120300 has 216 divisors, whose sum is σ = 63954240. Its totient is φ = 3916800.

The previous prime is 18120287. The next prime is 18120307. The reversal of 18120300 is 302181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 18120300.

It is not an unprimeable number, because it can be changed into a prime (18120307) 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 71 ways as a sum of consecutive naturals, for example, 953691 + ... + 953709.

Almost surely, 218120300 is an apocalyptic number.

18120300 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 18120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31977120).

18120300 is an abundant number, since it is smaller than the sum of its proper divisors (45833940).

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

18120300 is a wasteful number, since it uses less digits than its factorization.

18120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 18120300 is about 4256.7945686866. The cubic root of 18120300 is about 262.6566865004.

Adding to 18120300 its reverse (302181), we get a palindrome (18422481).

The spelling of 18120300 in words is "eighteen million, one hundred twenty thousand, three hundred".