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7008012 = 22331117347
BaseRepresentation
bin11010101110111100001100
3111012001012000
4122232330030
53243224022
6410112300
7113365344
oct32567414
914161160
107008012
113a57250
12241b690
1315b4a6b
14d05d24
159366ac
hex6aef0c

7008012 has 96 divisors (see below), whose sum is σ = 21047040. Its totient is φ = 1992960.

The previous prime is 7007993. The next prime is 7008013. The reversal of 7008012 is 2108007.

It is a super-2 number, since 2×70080122 = 98224464384288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (7008013) 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 31 ways as a sum of consecutive naturals, for example, 20023 + ... + 20369.

It is an arithmetic number, because the mean of its divisors is an integer number (219240).

Almost surely, 27008012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7008012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523520).

7008012 is an abundant number, since it is smaller than the sum of its proper divisors (14039028).

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

7008012 is a wasteful number, since it uses less digits than its factorization.

7008012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7008012 is about 2647.2650037350. The cubic root of 7008012 is about 191.3660733294.

The spelling of 7008012 in words is "seven million, eight thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 347 374 396 459 561 594 612 694 748 918 1041 1122 1188 1388 1683 1836 2082 2244 3123 3366 3817 4164 5049 5899 6246 6732 7634 9369 10098 11451 11798 12492 15268 17697 18738 20196 22902 23596 34353 35394 37476 45804 53091 64889 68706 70788 103059 106182 129778 137412 159273 194667 206118 212364 259556 318546 389334 412236 584001 637092 778668 1168002 1752003 2336004 3504006 7008012