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10585122 = 231764187
BaseRepresentation
bin101000011000…
…010000100010
3201220210001120
4220120100202
510202210442
61014513110
7155654262
oct50302042
921823046
1010585122
115a7a839
123665796
132267cb2
1415977a2
15de14ec
hexa18422

10585122 has 8 divisors (see below), whose sum is σ = 21170256. Its totient is φ = 3528372.

The previous prime is 10585121. The next prime is 10585123. The reversal of 10585122 is 22158501.

It is an interprime number because it is at equal distance from previous prime (10585121) and next prime (10585123).

It is a sphenic number, since it is the product of 3 distinct primes.

10585122 is an admirable number.

It is a super-2 number, since 2×105851222 = 224089615509768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10585092 and 10585101.

It is not an unprimeable number, because it can be changed into a prime (10585121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 882088 + ... + 882099.

It is an arithmetic number, because the mean of its divisors is an integer number (2646282).

Almost surely, 210585122 is an apocalyptic number.

10585122 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10585122 is a wasteful number, since it uses less digits than its factorization.

10585122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764192.

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 10585122 is about 3253.4784462172. The cubic root of 10585122 is about 219.5661007192.

The spelling of 10585122 in words is "ten million, five hundred eighty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 1764187 3528374 5292561 10585122