Base | Representation |
---|---|
bin | 111100000010110… |
… | …0000111000000000 |
3 | 12012102000221022220 |
4 | 1320011200320000 |
5 | 13111231230141 |
6 | 531530131040 |
7 | 100632522603 |
oct | 17005407000 |
9 | 5172027286 |
10 | 2014711296 |
11 | 944285464 |
12 | 482880a80 |
13 | 261528480 |
14 | 15180833a |
15 | bbd1b766 |
hex | 78160e00 |
2014711296 has 160 divisors (see below), whose sum is σ = 5825043840. Its totient is φ = 615112704.
The previous prime is 2014711273. The next prime is 2014711301. The reversal of 2014711296 is 6921174102.
It is a happy number.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3254475 + ... + 3255093.
It is an arithmetic number, because the mean of its divisors is an integer number (36406524).
Almost surely, 22014711296 is an apocalyptic number.
2014711296 is a gapful number since it is divisible by the number (26) 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 2014711296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912521920).
2014711296 is an abundant number, since it is smaller than the sum of its proper divisors (3810332544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2014711296 is a wasteful number, since it uses less digits than its factorization.
2014711296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 816 (or 800 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 33.
The square root of 2014711296 is about 44885.5354875042. The cubic root of 2014711296 is about 1263.0026849763.
Adding to 2014711296 its reverse (6921174102), we get a palindrome (8935885398).
The spelling of 2014711296 in words is "two billion, fourteen million, seven hundred eleven thousand, two hundred ninety-six".
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