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10434825 = 34525153
BaseRepresentation
bin100111110011…
…100100001001
3201122010220000
4213303210021
510132403300
61011353213
7154460142
oct47634411
921563800
1010434825
115987925
1235b2809
13221476b
141558ac9
15db1c00
hex9f3909

10434825 has 30 divisors (see below), whose sum is σ = 19332654. Its totient is φ = 5564160.

The previous prime is 10434811. The next prime is 10434829. The reversal of 10434825 is 52843401.

10434825 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 9418761 = 1008^2 + 3069^2 .

It is not a de Polignac number, because 10434825 - 25 = 10434793 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10434829) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 552 + ... + 4601.

Almost surely, 210434825 is an apocalyptic number.

10434825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10434825 is a deficient number, since it is larger than the sum of its proper divisors (8897829).

10434825 is an equidigital number, since it uses as much as digits as its factorization.

10434825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 10434825 is about 3230.2979738718. The cubic root of 10434825 is about 218.5219446390.

The spelling of 10434825 in words is "ten million, four hundred thirty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 5153 15459 25765 46377 77295 128825 139131 231885 386475 417393 695655 1159425 2086965 3478275 10434825