Search a number
-
+
1150162416 = 243413193593
BaseRepresentation
bin100010010001110…
…0001010111110000
32222011020022020000
41010203201113300
54323420144131
6310043550000
740334135124
oct10443412760
92864208200
101150162416
11540267057
1228122b300
13154394ca0
14aca79584
156ae93ce6
hex448e15f0

1150162416 has 200 divisors, whose sum is σ = 3774706320. Its totient is φ = 335176704.

The previous prime is 1150162411. The next prime is 1150162423. The reversal of 1150162416 is 6142610511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1150162416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150162411) 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 39 ways as a sum of consecutive naturals, for example, 318316 + ... + 321908.

Almost surely, 21150162416 is an apocalyptic number.

1150162416 is a gapful number since it is divisible by the number (16) 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 1150162416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887353160).

1150162416 is an abundant number, since it is smaller than the sum of its proper divisors (2624543904).

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

1150162416 is a wasteful number, since it uses less digits than its factorization.

1150162416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1150162416 is about 33914.0445243560. The cubic root of 1150162416 is about 1047.7388730373.

Adding to 1150162416 its reverse (6142610511), we get a palindrome (7292772927).

The spelling of 1150162416 in words is "one billion, one hundred fifty million, one hundred sixty-two thousand, four hundred sixteen".