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10634125 = 53241353
BaseRepresentation
bin101000100100…
…001110001101
3202000021021111
4220210032031
510210243000
61015532021
7156250165
oct50441615
922007244
1010634125
116003637
12368a011
1322843a8
1415ab5a5
15e00cba
hexa2438d

10634125 has 16 divisors (see below), whose sum is σ = 13364208. Its totient is φ = 8448000.

The previous prime is 10634123. The next prime is 10634153. The reversal of 10634125 is 52143601.

It can be written as a sum of positive squares in 8 ways, for example, as 2630884 + 8003241 = 1622^2 + 2829^2 .

It is not a de Polignac number, because 10634125 - 21 = 10634123 is a prime.

It is a super-2 number, since 2×106341252 = 226169229031250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10634096 and 10634105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29949 + ... + 30301.

It is an arithmetic number, because the mean of its divisors is an integer number (835263).

Almost surely, 210634125 is an apocalyptic number.

It is an amenable number.

10634125 is a deficient number, since it is larger than the sum of its proper divisors (2730083).

10634125 is an equidigital number, since it uses as much as digits as its factorization.

10634125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10634125 is about 3261.0006133087. Note that the first 3 decimals coincide. The cubic root of 10634125 is about 219.9044006128.

Adding to 10634125 its reverse (52143601), we get a palindrome (62777726).

The spelling of 10634125 in words is "ten million, six hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 125 241 353 1205 1765 6025 8825 30125 44125 85073 425365 2126825 10634125