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7168016 = 241719273
BaseRepresentation
bin11011010110000000010000
3111111011200002
4123112000100
53313334031
6413345132
7114633002
oct33260020
914434602
107168016
114056489
1224981a8
13163c83b
14d48372
15968ccb
hex6d6010

7168016 has 60 divisors (see below), whose sum is σ = 15732252. Its totient is φ = 3151872.

The previous prime is 7168001. The next prime is 7168069. The reversal of 7168016 is 6108617.

It can be written as a sum of positive squares in 2 ways, for example, as 4857616 + 2310400 = 2204^2 + 1520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7168016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98156 + ... + 98228.

Almost surely, 27168016 is an apocalyptic number.

7168016 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7168016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866126).

7168016 is an abundant number, since it is smaller than the sum of its proper divisors (8564236).

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

7168016 is a wasteful number, since it uses less digits than its factorization.

7168016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 7168016 is about 2677.3150729789. The cubic root of 7168016 is about 192.8115245948.

The spelling of 7168016 in words is "seven million, one hundred sixty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 19 34 38 68 73 76 136 146 152 272 292 304 323 361 584 646 722 1168 1241 1292 1387 1444 2482 2584 2774 2888 4964 5168 5548 5776 6137 9928 11096 12274 19856 22192 23579 24548 26353 47158 49096 52706 94316 98192 105412 188632 210824 377264 421648 448001 896002 1792004 3584008 7168016