Base | Representation |
---|---|
bin | 111101101000100… |
… | …1111000110000000 |
3 | 12100010112011120222 |
4 | 1323101033012000 |
5 | 13213414201330 |
6 | 541114522212 |
7 | 102151460150 |
oct | 17321170600 |
9 | 5303464528 |
10 | 2068115840 |
11 | 97144104a |
12 | 498736368 |
13 | 26c6063ab |
14 | 15894a760 |
15 | c186a0e5 |
hex | 7b44f180 |
2068115840 has 128 divisors (see below), whose sum is σ = 5896350720. Its totient is φ = 678205440.
The previous prime is 2068115839. The next prime is 2068115843. The reversal of 2068115840 is 485118602.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-4 number, since 4×20681158404 (a number of 38 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 2068115840.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2068115843) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93005 + ... + 113075.
It is an arithmetic number, because the mean of its divisors is an integer number (46065240).
Almost surely, 22068115840 is an apocalyptic number.
2068115840 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 2068115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948175360).
2068115840 is an abundant number, since it is smaller than the sum of its proper divisors (3828234880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2068115840 is a wasteful number, since it uses less digits than its factorization.
2068115840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20120 (or 20108 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 35.
The square root of 2068115840 is about 45476.5416451163. The cubic root of 2068115840 is about 1274.0651026817.
The spelling of 2068115840 in words is "two billion, sixty-eight million, one hundred fifteen thousand, eight hundred forty".
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