Search a number
-
+
1099360080 = 2433572131747
BaseRepresentation
bin100000110000110…
…1110011101010000
32211121122021112000
41001201232131100
54222414010310
6301031034000
736146256300
oct10141563520
92747567460
101099360080
11514618555
1226820b900
131469b8630
14a6013600
15667ab4c0
hex4186e750

1099360080 has 960 divisors, whose sum is σ = 5129671680. Its totient is φ = 213663744.

The previous prime is 1099360061. The next prime is 1099360081. The reversal of 1099360080 is 800639901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099360081) 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 191 ways as a sum of consecutive naturals, for example, 23390617 + ... + 23390663.

It is an arithmetic number, because the mean of its divisors is an integer number (5343408).

Almost surely, 21099360080 is an apocalyptic number.

1099360080 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 1099360080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564835840).

1099360080 is an abundant number, since it is smaller than the sum of its proper divisors (4030311600).

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

1099360080 is a wasteful number, since it uses less digits than its factorization.

1099360080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1099360080 is about 33156.5993431172. The cubic root of 1099360080 is about 1032.0799018719.

Adding to 1099360080 its reverse (800639901), we get a palindrome (1899999981).

The spelling of 1099360080 in words is "one billion, ninety-nine million, three hundred sixty thousand, eighty".