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8006124 = 223795311
BaseRepresentation
bin11110100010100111101100
3120001202100010
4132202213230
54022143444
6443333220
7125023320
oct36424754
916052303
108006124
114579135
122821210
131874169
1410c5980
15a822b9
hex7a29ec

8006124 has 24 divisors (see below), whose sum is σ = 21349888. Its totient is φ = 2287440.

The previous prime is 8006107. The next prime is 8006137. The reversal of 8006124 is 4216008.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 8006124.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 47572 + ... + 47739.

Almost surely, 28006124 is an apocalyptic number.

8006124 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8006124 is an abundant number, since it is smaller than the sum of its proper divisors (13343764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8006124 is a wasteful number, since it uses less digits than its factorization.

8006124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95325 (or 95323 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8006124 is about 2829.5094981286. The cubic root of 8006124 is about 200.0510203169.

The spelling of 8006124 in words is "eight million, six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 95311 190622 285933 381244 571866 667177 1143732 1334354 2001531 2668708 4003062 8006124