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2880003 = 37137143
BaseRepresentation
bin1010111111001000000011
312102022121210
422333020003
51214130003
6141421203
733323340
oct12771003
95368553
102880003
111697875
12b6a803
1379ab59
1454d7c7
153bd503
hex2bf203

2880003 has 8 divisors (see below), whose sum is σ = 4388608. Its totient is φ = 1645704.

The previous prime is 2879999. The next prime is 2880029. The reversal of 2880003 is 3000882.

2880003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2880003 - 22 = 2879999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 137143 = 2880003 / (2 + 8 + 8 + 0 + 0 + 0 + 3).

It is not an unprimeable number, because it can be changed into a prime (2880503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 68551 + ... + 68592.

It is an arithmetic number, because the mean of its divisors is an integer number (548576).

22880003 is an apocalyptic number.

2880003 is a deficient number, since it is larger than the sum of its proper divisors (1508605).

2880003 is a wasteful number, since it uses less digits than its factorization.

2880003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137153.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2880003 is about 1697.0571587310. The cubic root of 2880003 is about 142.2757815809.

Adding to 2880003 its reverse (3000882), we get a palindrome (5880885).

The spelling of 2880003 in words is "two million, eight hundred eighty thousand, three".

Divisors: 1 3 7 21 137143 411429 960001 2880003