Base | Representation |
---|---|
bin | 100110001010… |
… | …1111111010100 |
3 | 1101122202200200 |
4 | 1030111333110 |
5 | 20110404022 |
6 | 1552540500 |
7 | 332051655 |
oct | 114257724 |
9 | 41582620 |
10 | 20013012 |
11 | 1032a088 |
12 | 6851730 |
13 | 41b9326 |
14 | 292d52c |
15 | 1b54bac |
hex | 1315fd4 |
20013012 has 72 divisors (see below), whose sum is σ = 54663336. Its totient is φ = 6150144.
The previous prime is 20012999. The next prime is 20013031. The reversal of 20013012 is 21031002.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 2322576 + 17690436 = 1524^2 + 4206^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 20012985 and 20013003.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32128 + ... + 32744.
It is an arithmetic number, because the mean of its divisors is an integer number (759213).
Almost surely, 220013012 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 20013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27331668).
20013012 is an abundant number, since it is smaller than the sum of its proper divisors (34650324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20013012 is a wasteful number, since it uses less digits than its factorization.
20013012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 697 (or 692 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 20013012 is about 4473.5905042818. The cubic root of 20013012 is about 271.5006155679.
Adding to 20013012 its reverse (21031002), we get a palindrome (41044014).
The spelling of 20013012 in words is "twenty million, thirteen thousand, twelve".
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