Search a number
-
+
96393 = 31123127
BaseRepresentation
bin10111100010001001
311220020010
4113202021
511041033
62022133
7551013
oct274211
9156203
1096393
1166470
1247949
1334b4b
14271b3
151d863
hex17889

96393 has 16 divisors (see below), whose sum is σ = 147456. Its totient is φ = 55440.

The previous prime is 96377. The next prime is 96401. The reversal of 96393 is 39369.

It is not a de Polignac number, because 96393 - 24 = 96377 is a prime.

It is a super-2 number, since 2×963932 = 18583220898, which contains 22 as substring.

96393 is a lucky number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 96393.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96393.

It is not an unprimeable number, because it can be changed into a prime (96323) 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, 696 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (9216).

296393 is an apocalyptic number.

It is an amenable number.

96393 is a deficient number, since it is larger than the sum of its proper divisors (51063).

96393 is a wasteful number, since it uses less digits than its factorization.

96393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its digits is 4374, while the sum is 30.

The square root of 96393 is about 310.4722209796. The cubic root of 96393 is about 45.8509669523.

The spelling of 96393 in words is "ninety-six thousand, three hundred ninety-three".

Divisors: 1 3 11 23 33 69 127 253 381 759 1397 2921 4191 8763 32131 96393