Base | Representation |
---|---|
bin | 111100000001101… |
… | …0001100110000100 |
3 | 12012100221010021202 |
4 | 1320003101212010 |
5 | 13111103440140 |
6 | 531505402032 |
7 | 100624526600 |
oct | 17003214604 |
9 | 5170833252 |
10 | 2014124420 |
11 | 943a14540 |
12 | 482639318 |
13 | 2613812c9 |
14 | 1516d4500 |
15 | bbc52915 |
hex | 780d1984 |
2014124420 has 144 divisors (see below), whose sum is σ = 5395807872. Its totient is φ = 624476160.
The previous prime is 2014124407. The next prime is 2014124447. The reversal of 2014124420 is 244214102.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2014124392 and 2014124401.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770097 + ... + 2770823.
It is an arithmetic number, because the mean of its divisors is an integer number (37470888).
Almost surely, 22014124420 is an apocalyptic number.
2014124420 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 2014124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697903936).
2014124420 is an abundant number, since it is smaller than the sum of its proper divisors (3381683452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2014124420 is a wasteful number, since it uses less digits than its factorization.
2014124420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1018 (or 1009 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
The square root of 2014124420 is about 44878.9975378239. The cubic root of 2014124420 is about 1262.8800374703.
Adding to 2014124420 its reverse (244214102), we get a palindrome (2258338522).
The spelling of 2014124420 in words is "two billion, fourteen million, one hundred twenty-four thousand, four hundred twenty".
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