Base | Representation |
---|---|
bin | 1001000101101111… |
… | …0111001001010000 |
3 | 20022001021211212100 |
4 | 2101123313021100 |
5 | 14444120000310 |
6 | 1042041400400 |
7 | 114315441600 |
oct | 22133671120 |
9 | 6261254770 |
10 | 2440000080 |
11 | 10423531a1 |
12 | 581199100 |
13 | 2cb68253b |
14 | 1920b2c00 |
15 | e4327ec0 |
hex | 916f7250 |
2440000080 has 720 divisors, whose sum is σ = 10373336064. Its totient is φ = 510935040.
The previous prime is 2440000067. The next prime is 2440000133. The reversal of 2440000080 is 800000442.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25154592 + ... + 25154688.
Almost surely, 22440000080 is an apocalyptic number.
2440000080 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 2440000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186668032).
2440000080 is an abundant number, since it is smaller than the sum of its proper divisors (7933335984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2440000080 is a wasteful number, since it uses less digits than its factorization.
2440000080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 184 (or 168 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 2440000080 is about 49396.3569506902. The cubic root of 2440000080 is about 1346.2631141663.
The spelling of 2440000080 in words is "two billion, four hundred forty million, eighty", and thus it is an aban number.
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