Base | Representation |
---|---|
bin | 101000000111… |
… | …1111111001000 |
3 | 1110120210100011 |
4 | 1100033333020 |
5 | 20341141000 |
6 | 2030521304 |
7 | 343545235 |
oct | 120177710 |
9 | 43523304 |
10 | 21037000 |
11 | 10969456 |
12 | 7066234 |
13 | 448743a |
14 | 2b1878c |
15 | 1ca82ba |
hex | 140ffc8 |
21037000 has 64 divisors (see below), whose sum is σ = 49935600. Its totient is φ = 8294400.
The previous prime is 21036991. The next prime is 21037013. The reversal of 21037000 is 73012.
It can be written as a sum of positive squares in 8 ways, for example, as 443556 + 20593444 = 666^2 + 4538^2 .
It is an unprimeable number.
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, 108904 + ... + 109096.
Almost surely, 221037000 is an apocalyptic number.
21037000 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 21037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24967800).
21037000 is an abundant number, since it is smaller than the sum of its proper divisors (28898600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21037000 is a wasteful number, since it uses less digits than its factorization.
21037000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 323 (or 309 counting only the distinct ones).
The product of its (nonzero) digits is 42, while the sum is 13.
The square root of 21037000 is about 4586.6109492740. The cubic root of 21037000 is about 276.0543546243.
The spelling of 21037000 in words is "twenty-one million, thirty-seven thousand".
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