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10585625 = 5416937
BaseRepresentation
bin101000011000…
…011000011001
3201220210202012
4220120120121
510202220000
61014515305
7155655611
oct50303031
921823665
1010585625
115a80156
123665b35
1322682ab
141597a41
15de1735
hexa18619

10585625 has 10 divisors (see below), whose sum is σ = 13228578. Its totient is φ = 8468000.

The previous prime is 10585621. The next prime is 10585633. The reversal of 10585625 is 52658501.

It can be written as a sum of positive squares in 5 ways, for example, as 4963984 + 5621641 = 2228^2 + 2371^2 .

It is not a de Polignac number, because 10585625 - 22 = 10585621 is a prime.

It is a super-2 number, since 2×105856252 = 224110913281250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10585591 and 10585600.

It is not an unprimeable number, because it can be changed into a prime (10585621) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7844 + ... + 9093.

Almost surely, 210585625 is an apocalyptic number.

It is an amenable number.

10585625 is a deficient number, since it is larger than the sum of its proper divisors (2642953).

10585625 is an frugal number, since it uses more digits than its factorization.

10585625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16957 (or 16942 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 10585625 is about 3253.5557471788. Note that the first 3 decimals coincide. The cubic root of 10585625 is about 219.5695785566.

The spelling of 10585625 in words is "ten million, five hundred eighty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 16937 84685 423425 2117125 10585625