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8364006 = 2337229109
BaseRepresentation
bin11111111001111111100110
3120201221021000
4133321333212
54120122011
6455134130
7131043600
oct37717746
916657230
108364006
1147a3002
122974346
13196b021
14117a170
15b03356
hex7f9fe6

8364006 has 96 divisors (see below), whose sum is σ = 22572000. Its totient is φ = 2286144.

The previous prime is 8363989. The next prime is 8364011. The reversal of 8364006 is 6004638.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76680 + ... + 76788.

It is an arithmetic number, because the mean of its divisors is an integer number (235125).

Almost surely, 28364006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8364006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11286000).

8364006 is an abundant number, since it is smaller than the sum of its proper divisors (14207994).

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

8364006 is a wasteful number, since it uses less digits than its factorization.

8364006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8364006 is about 2892.0591280263. The cubic root of 8364006 is about 202.9885050962.

The spelling of 8364006 in words is "eight million, three hundred sixty-four thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 109 126 147 174 189 203 218 261 294 327 378 406 441 522 609 654 763 783 882 981 1218 1323 1421 1526 1566 1827 1962 2289 2646 2842 2943 3161 3654 4263 4578 5341 5481 5886 6322 6867 8526 9483 10682 10962 12789 13734 16023 18966 20601 22127 25578 28449 32046 38367 41202 44254 48069 56898 66381 76734 85347 96138 132762 144207 154889 170694 199143 288414 309778 398286 464667 597429 929334 1194858 1394001 2788002 4182003 8364006