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5168128 = 21072103
BaseRepresentation
bin10011101101110000000000
3100201120100011
4103231300000
52310340003
6302434304
761633300
oct23556000
910646304
105168128
112a0a989
121892994
1310bc484
14987600
156c146d
hex4edc00

5168128 has 66 divisors (see below), whose sum is σ = 12134616. Its totient is φ = 2193408.

The previous prime is 5168117. The next prime is 5168129. The reversal of 5168128 is 8218615.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5168128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5168129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50125 + ... + 50227.

Almost surely, 25168128 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 5168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067308).

5168128 is an abundant number, since it is smaller than the sum of its proper divisors (6966488).

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

5168128 is a wasteful number, since it uses less digits than its factorization.

5168128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its digits is 3840, while the sum is 31.

The square root of 5168128 is about 2273.3517105807. The cubic root of 5168128 is about 172.8931368057.

The spelling of 5168128 in words is "five million, one hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 103 112 128 196 206 224 256 392 412 448 512 721 784 824 896 1024 1442 1568 1648 1792 2884 3136 3296 3584 5047 5768 6272 6592 7168 10094 11536 12544 13184 20188 23072 25088 26368 40376 46144 50176 52736 80752 92288 105472 161504 184576 323008 369152 646016 738304 1292032 2584064 5168128