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10320193 = 136611201
BaseRepresentation
bin100111010111…
…100101000001
3201102022122101
4213113211001
510120221233
61005110401
7153502012
oct47274501
921368571
1010320193
115909794
123558401
1321a4530
141529009
15d8cc7d
hex9d7941

10320193 has 8 divisors (see below), whose sum is σ = 11140136. Its totient is φ = 9504000.

The previous prime is 10320157. The next prime is 10320199. The reversal of 10320193 is 39102301.

10320193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 1312-nd star number.

It can be written as a sum of positive squares in 4 ways, for example, as 3249 + 10316944 = 57^2 + 3212^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10320193 - 29 = 10319681 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10320193.

It is not an unprimeable number, because it can be changed into a prime (10320199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7993 + ... + 9193.

It is an arithmetic number, because the mean of its divisors is an integer number (1392517).

Almost surely, 210320193 is an apocalyptic number.

10320193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10320193 is a deficient number, since it is larger than the sum of its proper divisors (819943).

10320193 is a wasteful number, since it uses less digits than its factorization.

10320193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 10320193 is about 3212.5057198393. The cubic root of 10320193 is about 217.7188039001.

Adding to 10320193 its reverse (39102301), we get a palindrome (49422494).

The spelling of 10320193 in words is "ten million, three hundred twenty thousand, one hundred ninety-three".

Divisors: 1 13 661 1201 8593 15613 793861 10320193