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10005093 = 33752937
BaseRepresentation
bin100110001010…
…101001100101
3200211022102000
4212022221211
510030130333
6554235513
7151020240
oct46125145
920738360
1010005093
115713a7a
123425b99
1320c3c97
141486257
15d29713
hex98aa65

10005093 has 16 divisors (see below), whose sum is σ = 16940160. Its totient is φ = 5717088.

The previous prime is 10005091. The next prime is 10005119. The reversal of 10005093 is 39050001.

It is not a de Polignac number, because 10005093 - 21 = 10005091 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26280 + ... + 26657.

It is an arithmetic number, because the mean of its divisors is an integer number (1058760).

Almost surely, 210005093 is an apocalyptic number.

It is an amenable number.

10005093 is a deficient number, since it is larger than the sum of its proper divisors (6935067).

10005093 is an equidigital number, since it uses as much as digits as its factorization.

10005093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52953 (or 52947 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 10005093 is about 3163.0828316691. The cubic root of 10005093 is about 215.4800379153.

Adding to 10005093 its reverse (39050001), we get a palindrome (49055094).

The spelling of 10005093 in words is "ten million, five thousand, ninety-three".

Divisors: 1 3 7 9 21 27 63 189 52937 158811 370559 476433 1111677 1429299 3335031 10005093