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74193 = 373533
BaseRepresentation
bin10010000111010001
310202202220
4102013101
54333233
61331253
7426210
oct220721
9122686
1074193
1150819
1236b29
1327a02
141d077
1516eb3
hex121d1

74193 has 8 divisors (see below), whose sum is σ = 113088. Its totient is φ = 42384.

The previous prime is 74189. The next prime is 74197. The reversal of 74193 is 39147.

It is an interprime number because it is at equal distance from previous prime (74189) and next prime (74197).

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

It is not a de Polignac number, because 74193 - 22 = 74189 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

74193 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (74197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1746 + ... + 1787.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

274193 is an apocalyptic number.

It is an amenable number.

74193 is a deficient number, since it is larger than the sum of its proper divisors (38895).

74193 is a wasteful number, since it uses less digits than its factorization.

74193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543.

The product of its digits is 756, while the sum is 24.

The square root of 74193 is about 272.3839202303. The cubic root of 74193 is about 42.0198319040.

Subtracting from 74193 its product of digits (756), we obtain a palindrome (73437).

The spelling of 74193 in words is "seventy-four thousand, one hundred ninety-three".

Divisors: 1 3 7 21 3533 10599 24731 74193