Search a number
-
+
8142093 = 33437013
BaseRepresentation
bin11111000011110100001101
3120022122212000
4133003310031
54041021333
6450302513
7126130611
oct37036415
916278760
108142093
114661303
122887a39
1318c100b
14111d341
15aac713
hex7c3d0d

8142093 has 16 divisors (see below), whose sum is σ = 12344640. Its totient is φ = 5301072.

The previous prime is 8142077. The next prime is 8142103. The reversal of 8142093 is 3902418.

It is not a de Polignac number, because 8142093 - 24 = 8142077 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

8142093 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2346 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (771540).

Almost surely, 28142093 is an apocalyptic number.

It is an amenable number.

8142093 is a deficient number, since it is larger than the sum of its proper divisors (4202547).

8142093 is a wasteful number, since it uses less digits than its factorization.

8142093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8142093 is about 2853.4352980224. The cubic root of 8142093 is about 201.1771661392.

The spelling of 8142093 in words is "eight million, one hundred forty-two thousand, ninety-three".

Divisors: 1 3 9 27 43 129 387 1161 7013 21039 63117 189351 301559 904677 2714031 8142093