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10839301 = 112293089
BaseRepresentation
bin101001010110…
…010100000101
3202101200201121
4221112110011
510233324201
61024153541
7161063314
oct51262405
922350647
1010839301
116133800
1237688b1
1323268b5
14162227b
15e419a1
hexa56505

10839301 has 12 divisors (see below), whose sum is σ = 12329100. Its totient is φ = 9511040.

The previous prime is 10839277. The next prime is 10839313. The reversal of 10839301 is 10393801.

10839301 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8116801 + 2722500 = 2849^2 + 1650^2 .

It is not a de Polignac number, because 10839301 - 215 = 10806533 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10839341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1965 + ... + 5053.

It is an arithmetic number, because the mean of its divisors is an integer number (1027425).

Almost surely, 210839301 is an apocalyptic number.

10839301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10839301 is a deficient number, since it is larger than the sum of its proper divisors (1489799).

10839301 is a wasteful number, since it uses less digits than its factorization.

10839301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 10839301 is about 3292.3093718544. The cubic root of 10839301 is about 221.3096877915.

The spelling of 10839301 in words is "ten million, eight hundred thirty-nine thousand, three hundred one".

Divisors: 1 11 29 121 319 3089 3509 33979 89581 373769 985391 10839301