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10087985 = 54094933
BaseRepresentation
bin100110011110…
…111000110001
3200222112010002
4212132320301
510040303420
61000115345
7151514015
oct46367061
920875102
1010087985
115770286
123465b55
13212292b
1414a8545
15d44075
hex99ee31

10087985 has 8 divisors (see below), whose sum is σ = 12137640. Its totient is φ = 8049024.

The previous prime is 10087963. The next prime is 10088003. The reversal of 10087985 is 58978001.

It can be written as a sum of positive squares in 4 ways, for example, as 2062096 + 8025889 = 1436^2 + 2833^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10087985 - 26 = 10087921 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422 + ... + 4511.

It is an arithmetic number, because the mean of its divisors is an integer number (1517205).

Almost surely, 210087985 is an apocalyptic number.

It is an amenable number.

10087985 is a deficient number, since it is larger than the sum of its proper divisors (2049655).

10087985 is an equidigital number, since it uses as much as digits as its factorization.

10087985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347.

The product of its (nonzero) digits is 20160, while the sum is 38.

The square root of 10087985 is about 3176.1588436349. The cubic root of 10087985 is about 216.0734846565.

The spelling of 10087985 in words is "ten million, eighty-seven thousand, nine hundred eighty-five".

Divisors: 1 5 409 2045 4933 24665 2017597 10087985