Search a number
-
+
120324000 = 2535337271
BaseRepresentation
bin1110010101111…
…11111110100000
322101102002111110
413022333332200
5221300332000
615534543320
72660510556
oct712777640
9271362443
10120324000
1161a13225
1234367b40
131bc0b544
1411da1bd6
15a86b850
hex72bffa0

120324000 has 192 divisors, whose sum is σ = 406328832. Its totient is φ = 31104000.

The previous prime is 120323981. The next prime is 120324041. The reversal of 120324000 is 423021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443865 + ... + 444135.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2120324000 is an apocalyptic number.

120324000 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 120324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203164416).

120324000 is an abundant number, since it is smaller than the sum of its proper divisors (286004832).

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

120324000 is a wasteful number, since it uses less digits than its factorization.

120324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 120324000 is about 10969.2296903657. The cubic root of 120324000 is about 493.6859341113.

Adding to 120324000 its reverse (423021), we get a palindrome (120747021).

The spelling of 120324000 in words is "one hundred twenty million, three hundred twenty-four thousand".