Search a number
-
+
1091440896 = 28372132397
BaseRepresentation
bin100000100001110…
…0001000100000000
32211001201221102220
41001003201010000
54213402102041
6300145211040
736022044300
oct10103410400
92731657386
101091440896
115100a9777
12265630a80
13145174c20
14a4d51600
1565c44d66
hex410e1100

1091440896 has 432 divisors, whose sum is σ = 3836375424. Its totient is φ = 272498688.

The previous prime is 1091440891. The next prime is 1091440907. The reversal of 1091440896 is 6980441901.

It is a super-2 number, since 2×10914408962 = 2382486458922565632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1091440891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11251920 + ... + 11252016.

Almost surely, 21091440896 is an apocalyptic number.

1091440896 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 1091440896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918187712).

1091440896 is an abundant number, since it is smaller than the sum of its proper divisors (2744934528).

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

1091440896 is a wasteful number, since it uses less digits than its factorization.

1091440896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1091440896 is about 33036.9625722463. The cubic root of 1091440896 is about 1029.5957492388.

The spelling of 1091440896 in words is "one billion, ninety-one million, four hundred forty thousand, eight hundred ninety-six".