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7116064 = 2517103127
BaseRepresentation
bin11011001001010100100000
3111101112101221
4123021110200
53310203224
6412304424
7114325354
oct33112440
914345357
107116064
11402044a
122472114
131621cb7
14d33464
159586e4
hex6c9520

7116064 has 48 divisors (see below), whose sum is σ = 15095808. Its totient is φ = 3290112.

The previous prime is 7116061. The next prime is 7116071. The reversal of 7116064 is 4606117.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7116061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55969 + ... + 56095.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 27116064 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 7116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904).

7116064 is an abundant number, since it is smaller than the sum of its proper divisors (7979744).

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

7116064 is a wasteful number, since it uses less digits than its factorization.

7116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 7116064 is about 2667.5951716855. The cubic root of 7116064 is about 192.3445779831.

The spelling of 7116064 in words is "seven million, one hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 103 127 136 206 254 272 412 508 544 824 1016 1648 1751 2032 2159 3296 3502 4064 4318 7004 8636 13081 14008 17272 26162 28016 34544 52324 56032 69088 104648 209296 222377 418592 444754 889508 1779016 3558032 7116064