Base | Representation |
---|---|
bin | 111111111111101101000 |
3 | 10221112112200 |
4 | 13333331220 |
5 | 1014101000 |
6 | 112540200 |
7 | 23552463 |
oct | 7777550 |
9 | 3845480 |
10 | 2097000 |
11 | 1202564 |
12 | 851660 |
13 | 585639 |
14 | 3c82da |
15 | 2b6500 |
hex | 1fff68 |
2097000 has 96 divisors (see below), whose sum is σ = 7118280. Its totient is φ = 556800.
The previous prime is 2096993. The next prime is 2097013. The reversal of 2097000 is 7902.
It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 1758276 = 582^2 + 1326^2 .
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 8.
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, 8884 + ... + 9116.
22097000 is an apocalyptic number.
2097000 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 2097000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559140).
2097000 is an abundant number, since it is smaller than the sum of its proper divisors (5021280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2097000 is a wasteful number, since it uses less digits than its factorization.
2097000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 260 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 126, while the sum is 18.
The square root of 2097000 is about 1448.1022063377. The cubic root of 2097000 is about 127.9969074774.
It can be divided in two parts, 20 and 97000, that added together give a triangular number (97020 = T440).
The spelling of 2097000 in words is "two million, ninety-seven thousand".
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