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8006129 = 73109673
BaseRepresentation
bin11110100010100111110001
3120001202100022
4132202213301
54022144004
6443333225
7125023325
oct36424761
916052308
108006129
11457913a
122821215
131874171
1410c5985
15a822be
hex7a29f1

8006129 has 4 divisors (see below), whose sum is σ = 8115876. Its totient is φ = 7896384.

The previous prime is 8006107. The next prime is 8006137. The reversal of 8006129 is 9216008.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3055504 + 4950625 = 1748^2 + 2225^2 .

It is a cyclic number.

It is not a de Polignac number, because 8006129 - 28 = 8005873 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8006098 and 8006107.

It is not an unprimeable number, because it can be changed into a prime (8006149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54764 + ... + 54909.

It is an arithmetic number, because the mean of its divisors is an integer number (2028969).

Almost surely, 28006129 is an apocalyptic number.

It is an amenable number.

8006129 is a deficient number, since it is larger than the sum of its proper divisors (109747).

8006129 is a wasteful number, since it uses less digits than its factorization.

8006129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109746.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 8006129 is about 2829.5103816738. The cubic root of 8006129 is about 200.0510619623.

The spelling of 8006129 in words is "eight million, six thousand, one hundred twenty-nine".

Divisors: 1 73 109673 8006129