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7005064 = 2311233461
BaseRepresentation
bin11010101110001110001000
3111011220010211
4122232032020
53243130224
6410050504
7113353633
oct32561610
914156124
107005064
113a55010
122419a34
1315b3611
14d04c1a
15935894
hex6ae388

7005064 has 32 divisors (see below), whose sum is σ = 14955840. Its totient is φ = 3044800.

The previous prime is 7005059. The next prime is 7005077. The reversal of 7005064 is 4605007.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 294 + ... + 3754.

It is an arithmetic number, because the mean of its divisors is an integer number (467370).

Almost surely, 27005064 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 7005064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7477920).

7005064 is an abundant number, since it is smaller than the sum of its proper divisors (7950776).

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

7005064 is a wasteful number, since it uses less digits than its factorization.

7005064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 7005064 is about 2646.7081440914. The cubic root of 7005064 is about 191.3392361271.

The spelling of 7005064 in words is "seven million, five thousand, sixty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 3461 6922 13844 27688 38071 76142 79603 152284 159206 304568 318412 636824 875633 1751266 3502532 7005064