Base | Representation |
---|---|
bin | 100110010101… |
… | …1101101110100 |
3 | 1101211021202200 |
4 | 1030223231310 |
5 | 20121231004 |
6 | 1554504500 |
7 | 332602266 |
oct | 114535564 |
9 | 41737680 |
10 | 20102004 |
11 | 1038aa2a |
12 | 6895130 |
13 | 421a9a0 |
14 | 2953b36 |
15 | 1b71239 |
hex | 132bb74 |
20102004 has 36 divisors (see below), whose sum is σ = 54723396. Its totient is φ = 6185088.
The previous prime is 20102003. The next prime is 20102009. The reversal of 20102004 is 40020102.
It can be written as a sum of positive squares in 2 ways, for example, as 1954404 + 18147600 = 1398^2 + 4260^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20102003) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21009 + ... + 21944.
Almost surely, 220102004 is an apocalyptic number.
It is an amenable number.
20102004 is an abundant number, since it is smaller than the sum of its proper divisors (34621392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20102004 is a wasteful number, since it uses less digits than its factorization.
20102004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42976 (or 42971 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 20102004 is about 4483.5258446896. The cubic root of 20102004 is about 271.9024484376.
Adding to 20102004 its reverse (40020102), we get a palindrome (60122106).
The spelling of 20102004 in words is "twenty million, one hundred two thousand, four".
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