Search a number
-
+
93966 = 2315661
BaseRepresentation
bin10110111100001110
311202220020
4112330032
511001331
62003010
7540645
oct267416
9152806
1093966
1164664
1246466
1333a02
142635c
151cc96
hex16f0e

93966 has 8 divisors (see below), whose sum is σ = 187944. Its totient is φ = 31320.

The previous prime is 93949. The next prime is 93967. The reversal of 93966 is 66939.

It is a sphenic number, since it is the product of 3 distinct primes.

93966 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93967) by changing a digit.

93966 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 3 ways as a sum of consecutive naturals, for example, 7825 + ... + 7836.

It is an arithmetic number, because the mean of its divisors is an integer number (23493).

293966 is an apocalyptic number.

93966 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93972).

93966 is a wasteful number, since it uses less digits than its factorization.

93966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15666.

The product of its digits is 8748, while the sum is 33.

The square root of 93966 is about 306.5387414341. The cubic root of 93966 is about 45.4628767759.

The spelling of 93966 in words is "ninety-three thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 15661 31322 46983 93966