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2880129 = 37236789
BaseRepresentation
bin1010111111001010000001
312102022210110
422333022001
51214131004
6141421533
733323610
oct12771201
95368713
102880129
11169797a
12b6a8a9
1379ac25
1454d877
153bd589
hex2bf281

2880129 has 32 divisors (see below), whose sum is σ = 4700160. Its totient is φ = 1533312.

The previous prime is 2880121. The next prime is 2880131. The reversal of 2880129 is 9210882.

2880129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2880129 - 23 = 2880121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2880096 and 2880105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880121) 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 31 ways as a sum of consecutive naturals, for example, 32317 + ... + 32405.

It is an arithmetic number, because the mean of its divisors is an integer number (146880).

22880129 is an apocalyptic number.

It is an amenable number.

2880129 is a deficient number, since it is larger than the sum of its proper divisors (1820031).

2880129 is a wasteful number, since it uses less digits than its factorization.

2880129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2880129 is about 1697.0942814116. The cubic root of 2880129 is about 142.2778564036.

The spelling of 2880129 in words is "two million, eight hundred eighty thousand, one hundred twenty-nine".

Divisors: 1 3 7 21 23 67 69 89 161 201 267 469 483 623 1407 1541 1869 2047 4623 5963 6141 10787 14329 17889 32361 41741 42987 125223 137149 411447 960043 2880129