Search a number
-
+
93184 = 210713
BaseRepresentation
bin10110110000000000
311201211021
4112300000
510440214
61555224
7535450
oct266000
9151737
1093184
1164013
1245b14
1333550
1425d60
151c924
hex16c00

93184 has 44 divisors (see below), whose sum is σ = 229264. Its totient is φ = 36864.

The previous prime is 93179. The next prime is 93187. The reversal of 93184 is 48139.

It is not an unprimeable number, because it can be changed into a prime (93187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7162 + ... + 7174.

93184 is a Friedman number, since it can be written as 91*4^(8-3), using all its digits and the basic arithmetic operations.

293184 is an apocalyptic number.

93184 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114632).

93184 is an abundant number, since it is smaller than the sum of its proper divisors (136080).

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

93184 is a wasteful number, since it uses less digits than its factorization.

93184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 22 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 93184 is about 305.2605444534. The cubic root of 93184 is about 45.3364088648.

Multiplying 93184 by its reverse (48139), we get a square (4485784576 = 669762).

The spelling of 93184 in words is "ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2912 3328 3584 5824 6656 7168 11648 13312 23296 46592 93184