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2128107 = 32961401
BaseRepresentation
bin1000000111100011101011
311000010012210
420013203223
51021044412
6113340203
724042252
oct10074353
94003183
102128107
111223973
12867663
13596847
143d5799
152c083c
hex2078eb

2128107 has 16 divisors (see below), whose sum is σ = 2990880. Its totient is φ = 1344000.

The previous prime is 2128103. The next prime is 2128153. The reversal of 2128107 is 7018212.

2128107 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 2128107 - 22 = 2128103 is a prime.

2128107 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128103) 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 15 ways as a sum of consecutive naturals, for example, 5107 + ... + 5507.

It is an arithmetic number, because the mean of its divisors is an integer number (186930).

22128107 is an apocalyptic number.

2128107 is a deficient number, since it is larger than the sum of its proper divisors (862773).

2128107 is a wasteful number, since it uses less digits than its factorization.

2128107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 2128107 is about 1458.8032766621. The cubic root of 2128107 is about 128.6267076228.

The spelling of 2128107 in words is "two million, one hundred twenty-eight thousand, one hundred seven".

Divisors: 1 3 29 61 87 183 401 1203 1769 5307 11629 24461 34887 73383 709369 2128107