Base | Representation |
---|---|
bin | 111110111011001… |
… | …1010011011010100 |
3 | 12110011000001021100 |
4 | 1331312122123110 |
5 | 13311010303040 |
6 | 545302550100 |
7 | 103215511560 |
oct | 17566323324 |
9 | 5404001240 |
10 | 2111416020 |
11 | 99392611a |
12 | 4ab138330 |
13 | 2785870bc |
14 | 1605bc6a0 |
15 | c556eb30 |
hex | 7dd9a6d4 |
2111416020 has 144 divisors (see below), whose sum is σ = 7388454528. Its totient is φ = 478068480.
The previous prime is 2111416019. The next prime is 2111416049. The reversal of 2111416020 is 206141112.
2111416020 is a `hidden beast` number, since 21 + 1 + 1 + 41 + 602 + 0 = 666.
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 = 2111415984 and 2111416002.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126990 + ... + 142650.
It is an arithmetic number, because the mean of its divisors is an integer number (51308712).
Almost surely, 22111416020 is an apocalyptic number.
2111416020 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 2111416020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694227264).
2111416020 is an abundant number, since it is smaller than the sum of its proper divisors (5277038508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2111416020 is a wasteful number, since it uses less digits than its factorization.
2111416020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15790 (or 15785 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 2111416020 is about 45950.1471161954. The cubic root of 2111416020 is about 1282.8954675685.
Adding to 2111416020 its reverse (206141112), we get a palindrome (2317557132).
The spelling of 2111416020 in words is "two billion, one hundred eleven million, four hundred sixteen thousand, twenty".
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