Search a number
-
+
1115073120 = 253572347307
BaseRepresentation
bin100001001110110…
…1010101001100000
32212201012120202110
41002131222221200
54240424314440
6302351515320
736426652020
oct10235525140
92781176673
101115073120
1152247aa37
12271528b40
1314a02a6a5
14a8143a80
1567d62080
hex4276aa60

1115073120 has 384 divisors, whose sum is σ = 4291854336. Its totient is φ = 237828096.

The previous prime is 1115073109. The next prime is 1115073137. The reversal of 1115073120 is 213705111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3632007 + ... + 3632313.

It is an arithmetic number, because the mean of its divisors is an integer number (11176704).

Almost surely, 21115073120 is an apocalyptic number.

1115073120 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 1115073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145927168).

1115073120 is an abundant number, since it is smaller than the sum of its proper divisors (3176781216).

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

1115073120 is a wasteful number, since it uses less digits than its factorization.

1115073120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 1115073120 is about 33392.7105818021. The cubic root of 1115073120 is about 1036.9737965492.

Adding to 1115073120 its reverse (213705111), we get a palindrome (1328778231).

The spelling of 1115073120 in words is "one billion, one hundred fifteen million, seventy-three thousand, one hundred twenty".