Search a number
-
+
93993 = 3171997
BaseRepresentation
bin10110111100101001
311202221020
4112330221
511001433
62003053
7541014
oct267451
9152836
1093993
1164689
1246489
1333a23
142637b
151ccb3
hex16f29

93993 has 16 divisors (see below), whose sum is σ = 141120. Its totient is φ = 55296.

The previous prime is 93983. The next prime is 93997. The reversal of 93993 is 39939.

It is not a de Polignac number, because 93993 - 29 = 93481 is a prime.

93993 is a repfigit number.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (93997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

293993 is an apocalyptic number.

It is an amenable number.

93993 is a deficient number, since it is larger than the sum of its proper divisors (47127).

93993 is a wasteful number, since it uses less digits than its factorization.

93993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its digits is 6561, while the sum is 33.

The square root of 93993 is about 306.5827783813. The cubic root of 93993 is about 45.4672307625.

It can be divided in two parts, 9 and 3993, that multiplied together give a cube (35937 = 333).

The spelling of 93993 in words is "ninety-three thousand, nine hundred ninety-three".

Divisors: 1 3 17 19 51 57 97 291 323 969 1649 1843 4947 5529 31331 93993