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2129205 = 351361179
BaseRepresentation
bin1000000111110100110101
311000011201110
420013310311
51021113310
6113345233
724045411
oct10076465
94004643
102129205
111224781
12868219
135971b0
143d5d41
152c0d20
hex207d35

2129205 has 32 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 1025280.

The previous prime is 2129203. The next prime is 2129207. The reversal of 2129205 is 5029212.

2129205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2129203) and next prime (2129207).

It is not a de Polignac number, because 2129205 - 21 = 2129203 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129203) 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, 11806 + ... + 11984.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22129205 is an apocalyptic number.

It is an amenable number.

2129205 is a deficient number, since it is larger than the sum of its proper divisors (1620555).

2129205 is a wasteful number, since it uses less digits than its factorization.

2129205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2129205 is about 1459.1795640016. The cubic root of 2129205 is about 128.6488255335.

The spelling of 2129205 in words is "two million, one hundred twenty-nine thousand, two hundred five".

Divisors: 1 3 5 13 15 39 61 65 179 183 195 305 537 793 895 915 2327 2379 2685 3965 6981 10919 11635 11895 32757 34905 54595 141947 163785 425841 709735 2129205