Search a number
-
+
1320241320 = 23325149151163
BaseRepresentation
bin100111010110001…
…0100100010101000
310102000021012121200
41032230110202220
510200440210240
6335001204200
744500603026
oct11654244250
93360235550
101320241320
11618272932
1230a190660
131806a41a8
14c74ad716
157ad8c930
hex4eb148a8

1320241320 has 192 divisors, whose sum is σ = 4374864000. Its totient is φ = 345254400.

The previous prime is 1320241319. The next prime is 1320241337. The reversal of 1320241320 is 231420231.

1320241320 is a `hidden beast` number, since 1 + 320 + 24 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1320241293 and 1320241302.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8099559 + ... + 8099721.

It is an arithmetic number, because the mean of its divisors is an integer number (22785750).

Almost surely, 21320241320 is an apocalyptic number.

1320241320 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 1320241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187432000).

1320241320 is an abundant number, since it is smaller than the sum of its proper divisors (3054622680).

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

1320241320 is a wasteful number, since it uses less digits than its factorization.

1320241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1320241320 is about 36335.1251545939. The cubic root of 1320241320 is about 1097.0281545707.

Adding to 1320241320 its reverse (231420231), we get a palindrome (1551661551).

The spelling of 1320241320 in words is "one billion, three hundred twenty million, two hundred forty-one thousand, three hundred twenty".