Search a number
-
+
2440113120 = 25335683827
BaseRepresentation
bin1001000101110001…
…0010101111100000
320022001111120221000
42101130102233200
514444132104440
61042044032000
7114316422264
oct22134225740
96261446830
102440113120
111042420115
12581232600
132cb6c1b23
141921020a4
15e434b730
hex91712be0

2440113120 has 192 divisors, whose sum is σ = 8563242240. Its totient is φ = 648958464.

The previous prime is 2440113101. The next prime is 2440113187. The reversal of 2440113120 is 213110442.

It is a super-2 number, since 2×24401131202 = 11908304076792268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2440113093 and 2440113102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2950147 + ... + 2950973.

It is an arithmetic number, because the mean of its divisors is an integer number (44600220).

Almost surely, 22440113120 is an apocalyptic number.

2440113120 is a gapful number since it is divisible by the number (20) 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 2440113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281621120).

2440113120 is an abundant number, since it is smaller than the sum of its proper divisors (6123129120).

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

2440113120 is a wasteful number, since it uses less digits than its factorization.

2440113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2440113120 is about 49397.5011513740. The cubic root of 2440113120 is about 1346.2839036783.

Adding to 2440113120 its reverse (213110442), we get a palindrome (2653223562).

The spelling of 2440113120 in words is "two billion, four hundred forty million, one hundred thirteen thousand, one hundred twenty".