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93168 = 2432647
BaseRepresentation
bin10110101111110000
311201210200
4112233300
510440133
61555200
7535425
oct265760
9151720
1093168
1163aa9
1245b00
133353a
1425d4c
151c913
hex16bf0

93168 has 30 divisors (see below), whose sum is σ = 261144. Its totient is φ = 31008.

The previous prime is 93151. The next prime is 93169. The reversal of 93168 is 86139.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93169) by changing a digit.

93168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180 + ... + 467.

293168 is an apocalyptic number.

It is an amenable number.

93168 is an abundant number, since it is smaller than the sum of its proper divisors (167976).

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

93168 is a wasteful number, since it uses less digits than its factorization.

93168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 93168 is about 305.2343362074. The cubic root of 93168 is about 45.3338139126. Note that the first 3 decimals are identical.

It can be divided in two parts, 931 and 68, that added together give a palindrome (999).

The spelling of 93168 in words is "ninety-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 647 1294 1941 2588 3882 5176 5823 7764 10352 11646 15528 23292 31056 46584 93168