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2820129 = 313167433
BaseRepresentation
bin1010110000100000100001
312022021111020
422300200201
51210221004
6140240053
732653644
oct12604041
95267436
102820129
111656894
12b40029
13779820
14535a5b
153aa8d9
hex2b0821

2820129 has 16 divisors (see below), whose sum is σ = 4083072. Its totient is φ = 1721088.

The previous prime is 2820127. The next prime is 2820131. The reversal of 2820129 is 9210282.

It is an interprime number because it is at equal distance from previous prime (2820127) and next prime (2820131).

It is not a de Polignac number, because 2820129 - 21 = 2820127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2820099 and 2820108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6297 + ... + 6729.

It is an arithmetic number, because the mean of its divisors is an integer number (255192).

22820129 is an apocalyptic number.

It is an amenable number.

2820129 is a deficient number, since it is larger than the sum of its proper divisors (1262943).

2820129 is a wasteful number, since it uses less digits than its factorization.

2820129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2820129 is about 1679.3239711265. The cubic root of 2820129 is about 141.2829186857.

The spelling of 2820129 in words is "two million, eight hundred twenty thousand, one hundred twenty-nine".

Divisors: 1 3 13 39 167 433 501 1299 2171 5629 6513 16887 72311 216933 940043 2820129