Search a number
-
+
1140555024 = 2432717101659
BaseRepresentation
bin100001111111011…
…0111110100010000
32221111011012100200
41003332313310100
54313440230044
6305102015200
740156362210
oct10376676420
92844135320
101140555024
115358a4964
12279b77500
131523b003b
14ab698240
156a1e7369
hex43fb7d10

1140555024 has 240 divisors, whose sum is σ = 3906714240. Its totient is φ = 303206400.

The previous prime is 1140555023. The next prime is 1140555061. The reversal of 1140555024 is 4205550411.

It is not an unprimeable number, because it can be changed into a prime (1140555023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1730407 + ... + 1731065.

It is an arithmetic number, because the mean of its divisors is an integer number (16277976).

Almost surely, 21140555024 is an apocalyptic number.

1140555024 is a gapful number since it is divisible by the number (14) 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 1140555024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953357120).

1140555024 is an abundant number, since it is smaller than the sum of its proper divisors (2766159216).

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

1140555024 is a wasteful number, since it uses less digits than its factorization.

1140555024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1140555024 is about 33772.1042281940. The cubic root of 1140555024 is about 1044.8134321970.

The spelling of 1140555024 in words is "one billion, one hundred forty million, five hundred fifty-five thousand, twenty-four".