Base | Representation |
---|---|
bin | 111100000010001… |
… | …0110010000000000 |
3 | 12012101110102001000 |
4 | 1320010112100000 |
5 | 13111141440012 |
6 | 531515412000 |
7 | 100630110501 |
oct | 17004262000 |
9 | 5171412030 |
10 | 2014405632 |
11 | 944096848 |
12 | 482754000 |
13 | 26144c2c5 |
14 | 151768ba8 |
15 | bbcaaddc |
hex | 78116400 |
2014405632 has 88 divisors (see below), whose sum is σ = 5965776800. Its totient is φ = 671459328.
The previous prime is 2014405621. The next prime is 2014405639. The reversal of 2014405632 is 2365044102.
2014405632 is a `hidden beast` number, since 20 + 1 + 4 + 4 + 0 + 5 + 632 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2014405596 and 2014405605.
It is not an unprimeable number, because it can be changed into a prime (2014405639) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8782 + ... + 64077.
Almost surely, 22014405632 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2014405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982888400).
2014405632 is an abundant number, since it is smaller than the sum of its proper divisors (3951371168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2014405632 is an equidigital number, since it uses as much as digits as its factorization.
2014405632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72888 (or 72864 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 2014405632 is about 44882.1304307182. The cubic root of 2014405632 is about 1262.9388091613.
Adding to 2014405632 its reverse (2365044102), we get a palindrome (4379449734).
The spelling of 2014405632 in words is "two billion, fourteen million, four hundred five thousand, six hundred thirty-two".
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