Base | Representation |
---|---|
bin | 1011011011101100001000 |
3 | 12122021010000 |
4 | 23123230020 |
5 | 1231401000 |
6 | 144123000 |
7 | 34321416 |
oct | 13335410 |
9 | 5567100 |
10 | 2997000 |
11 | 1767766 |
12 | 1006460 |
13 | 80c196 |
14 | 5802b6 |
15 | 3e3000 |
hex | 2dbb08 |
2997000 has 160 divisors (see below), whose sum is σ = 10759320. Its totient is φ = 777600.
The previous prime is 2996933. The next prime is 2997011. The reversal of 2997000 is 7992.
2997000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 1542564 + 1454436 = 1242^2 + 1206^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80982 + ... + 81018.
22997000 is an apocalyptic number.
2997000 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 2997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379660).
2997000 is an abundant number, since it is smaller than the sum of its proper divisors (7762320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2997000 is a wasteful number, since it uses less digits than its factorization.
2997000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 70 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 1134, while the sum is 27.
The square root of 2997000 is about 1731.1845655504. The cubic root of 2997000 is about 144.1768660112.
The spelling of 2997000 in words is "two million, nine hundred ninety-seven thousand".
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