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10085705 = 571272269
BaseRepresentation
bin100110011110…
…010101001001
3200222101222122
4212132111021
510040220310
61000101025
7151504250
oct46362511
920871878
1010085705
1157695a3
123464775
132121896
1414a7797
15d43555
hex99e549

10085705 has 16 divisors (see below), whose sum is σ = 13946880. Its totient is φ = 6858432.

The previous prime is 10085687. The next prime is 10085717. The reversal of 10085705 is 50758001.

10085705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10085705 - 216 = 10020169 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3311 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (871680).

Almost surely, 210085705 is an apocalyptic number.

It is an amenable number.

10085705 is a deficient number, since it is larger than the sum of its proper divisors (3861175).

10085705 is a wasteful number, since it uses less digits than its factorization.

10085705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 10085705 is about 3175.7998992380. The cubic root of 10085705 is about 216.0572050703.

The spelling of 10085705 in words is "ten million, eighty-five thousand, seven hundred five".

Divisors: 1 5 7 35 127 635 889 2269 4445 11345 15883 79415 288163 1440815 2017141 10085705