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7168064 = 26472383
BaseRepresentation
bin11011010110000001000000
3111111011201212
4123112001000
53313334224
6413345252
7114633101
oct33260100
914434655
107168064
114056522
122498228
13163c877
14d483a8
15968d0e
hex6d6040

7168064 has 28 divisors (see below), whose sum is σ = 14532864. Its totient is φ = 3506304.

The previous prime is 7168001. The next prime is 7168069. The reversal of 7168064 is 4608617.

It is a super-2 number, since 2×71680642 = 102762283016192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7168064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7168069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1817 + ... + 4199.

Almost surely, 27168064 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 7168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266432).

7168064 is an abundant number, since it is smaller than the sum of its proper divisors (7364800).

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

7168064 is a wasteful number, since it uses less digits than its factorization.

7168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7168064 is about 2677.3240371685. The cubic root of 7168064 is about 192.8119549757.

The spelling of 7168064 in words is "seven million, one hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 2383 3008 4766 9532 19064 38128 76256 112001 152512 224002 448004 896008 1792016 3584032 7168064