Base | Representation |
---|---|
bin | 1010111111001000000000 |
3 | 12102022121200 |
4 | 22333020000 |
5 | 1214130000 |
6 | 141421200 |
7 | 33323334 |
oct | 12771000 |
9 | 5368550 |
10 | 2880000 |
11 | 1697872 |
12 | b6a800 |
13 | 79ab56 |
14 | 54d7c4 |
15 | 3bd500 |
hex | 2bf200 |
2880000 has 150 divisors (see below), whose sum is σ = 10386519. Its totient is φ = 768000.
The previous prime is 2879999. The next prime is 2880029. The reversal of 2880000 is 882.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 3 ways, for example, as 665856 + 2214144 = 816^2 + 1488^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=1200.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 575998 + ... + 576002.
22880000 is an apocalyptic number.
2880000 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 2880000
2880000 is an abundant number, since it is smaller than the sum of its proper divisors (7506519).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2880000 is an frugal number, since it uses more digits than its factorization.
2880000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 2880000 is about 1697.0562748477. The cubic root of 2880000 is about 142.2757321796.
Multiplying 2880000 by its sum of digits (18), we get a square (51840000 = 72002).
2880000 divided by its sum of digits (18) gives a 4-th power (160000 = 204).
Multiplying 2880000 by its product of nonzero digits (128), we get a square (368640000 = 192002).
2880000 divided by its product of nonzero digits (128) gives a square (22500 = 1502).
Adding to 2880000 its reverse (882), we get a palindrome (2880882).
Multiplying 2880000 by its reverse (882), we get a square (2540160000 = 504002).
The spelling of 2880000 in words is "two million, eight hundred eighty thousand".
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