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2128129 = 37113509
BaseRepresentation
bin1000000111100100000001
311000010020121
420013210001
51021100004
6113340241
724042313
oct10074401
94003217
102128129
111223993
12867681
13596863
143d57b3
152c0854
hex207901

2128129 has 8 divisors (see below), whose sum is σ = 2209320. Its totient is φ = 2048256.

The previous prime is 2128103. The next prime is 2128153. The reversal of 2128129 is 9218212.

It can be written as a sum of positive squares in 4 ways, for example, as 425104 + 1703025 = 652^2 + 1305^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2128129 - 27 = 2128001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2123129) 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 7 ways as a sum of consecutive naturals, for example, 3927 + ... + 4435.

It is an arithmetic number, because the mean of its divisors is an integer number (276165).

22128129 is an apocalyptic number.

It is an amenable number.

2128129 is a deficient number, since it is larger than the sum of its proper divisors (81191).

2128129 is a wasteful number, since it uses less digits than its factorization.

2128129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659.

The product of its digits is 576, while the sum is 25.

The square root of 2128129 is about 1458.8108170698. The cubic root of 2128129 is about 128.6271508614.

The spelling of 2128129 in words is "two million, one hundred twenty-eight thousand, one hundred twenty-nine".

Divisors: 1 37 113 509 4181 18833 57517 2128129