Base | Representation |
---|---|
bin | 1010011000000100000000 |
3 | 12010012010202 |
4 | 22120010000 |
5 | 1144020000 |
6 | 134144332 |
7 | 32056013 |
oct | 12300400 |
9 | 5105122 |
10 | 2720000 |
11 | 1598638 |
12 | ab20a8 |
13 | 74308a |
14 | 50b37a |
15 | 38add5 |
hex | 298100 |
2720000 has 90 divisors (see below), whose sum is σ = 7183638. Its totient is φ = 1024000.
The previous prime is 2719991. The next prime is 2720009. The reversal of 2720000 is 272.
It is an interprime number because it is at equal distance from previous prime (2719991) and next prime (2720009).
It can be written as a sum of positive squares in 5 ways, for example, as 692224 + 2027776 = 832^2 + 1424^2 .
It is not an unprimeable number, because it can be changed into a prime (2720009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159992 + ... + 160008.
22720000 is an apocalyptic number.
2720000 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 2720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591819).
2720000 is an abundant number, since it is smaller than the sum of its proper divisors (4463638).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2720000 is an frugal number, since it uses more digits than its factorization.
2720000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 28, while the sum is 11.
The square root of 2720000 is about 1649.2422502471. The cubic root of 2720000 is about 139.5906409382.
Adding to 2720000 its reverse (272), we get a palindrome (2720272).
Multiplying 2720000 by its reverse (272), we get a square (739840000 = 272002).
2720000 divided by its reverse (272) gives a 4-th power (10000 = 104).
It can be divided in two parts, 2 and 720000, that multiplied together give a square (1440000 = 12002).
The spelling of 2720000 in words is "two million, seven hundred twenty thousand".
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