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10603125 = 32551329
BaseRepresentation
bin101000011100…
…101001110101
3201221200202100
4220130221311
510203300000
61015132313
7156060621
oct50345165
921850670
1010603125
115a92315
123674099
132273250
1415a0181
15de6a00
hexa1ca75

10603125 has 72 divisors (see below), whose sum is σ = 21326760. Its totient is φ = 5040000.

The previous prime is 10603123. The next prime is 10603141. The reversal of 10603125 is 52130601.

10603125 is digitally balanced in base 2, 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 12 ways, for example, as 10381284 + 221841 = 3222^2 + 471^2 .

It is not a de Polignac number, because 10603125 - 21 = 10603123 is a prime.

It is a super-2 number, since 2×106031252 = 224852519531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10603098 and 10603107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10603123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365611 + ... + 365639.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 210603125 is an apocalyptic number.

10603125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10603125 is an abundant number, since it is smaller than the sum of its proper divisors (10723635).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10603125 is an equidigital number, since it uses as much as digits as its factorization.

10603125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10603125 is about 3256.2440019139. The cubic root of 10603125 is about 219.6905083436.

Adding to 10603125 its reverse (52130601), we get a palindrome (62733726).

The spelling of 10603125 in words is "ten million, six hundred three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 125 145 195 225 261 325 375 377 435 585 625 725 975 1125 1131 1305 1625 1875 1885 2175 2925 3125 3393 3625 4875 5625 5655 6525 8125 9375 9425 10875 14625 16965 18125 24375 28125 28275 32625 40625 47125 54375 73125 84825 90625 121875 141375 163125 235625 271875 365625 424125 706875 815625 1178125 2120625 3534375 10603125