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5103168 = 26373797
BaseRepresentation
bin10011011101111001000000
3100121021020020
4103131321000
52301300133
6301213440
761243020
oct23357100
910537206
105103168
1129760a4
121861280
131098a35
1496ba80
156ac0b3
hex4dde40

5103168 has 56 divisors (see below), whose sum is σ = 15435072. Its totient is φ = 1457664.

The previous prime is 5103157. The next prime is 5103169. The reversal of 5103168 is 8613015.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5103169) by changing a digit.

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, 555 + ... + 3242.

Almost surely, 25103168 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 5103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717536).

5103168 is an abundant number, since it is smaller than the sum of its proper divisors (10331904).

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

5103168 is a wasteful number, since it uses less digits than its factorization.

5103168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5103168 is about 2259.0192562260. The cubic root of 5103168 is about 172.1656957435.

The spelling of 5103168 in words is "five million, one hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3797 7594 11391 15188 22782 26579 30376 45564 53158 60752 79737 91128 106316 121504 159474 182256 212632 243008 318948 364512 425264 637896 729024 850528 1275792 1701056 2551584 5103168