Base | Representation |
---|---|
bin | 111110101010000… |
… | …0010001111000000 |
3 | 12102112001012011000 |
4 | 1331110002033000 |
5 | 13301203412112 |
6 | 544341452000 |
7 | 103046065551 |
oct | 17524021700 |
9 | 5375035130 |
10 | 2102404032 |
11 | 9898302a3 |
12 | 4a8111000 |
13 | 276750171 |
14 | 15d314328 |
15 | c488e7dc |
hex | 7d5023c0 |
2102404032 has 112 divisors (see below), whose sum is σ = 6191910400. Its totient is φ = 699528960.
The previous prime is 2102404001. The next prime is 2102404037. The reversal of 2102404032 is 2304042012.
2102404032 is a `hidden beast` number, since 21 + 0 + 240 + 403 + 2 = 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 = 2102403996 and 2102404014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2102404037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1794807 + ... + 1795977.
Almost surely, 22102404032 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 2102404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095955200).
2102404032 is an abundant number, since it is smaller than the sum of its proper divisors (4089506368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102404032 is a wasteful number, since it uses less digits than its factorization.
2102404032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2231 (or 2215 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2102404032 is about 45851.9795864911. The cubic root of 2102404032 is about 1281.0676378899.
Adding to 2102404032 its reverse (2304042012), we get a palindrome (4406446044).
The spelling of 2102404032 in words is "two billion, one hundred two million, four hundred four thousand, thirty-two".
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