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706095 = 325131771
BaseRepresentation
bin10101100011000101111
31022212120200
42230120233
5140043340
623044543
76000405
oct2543057
91285520
10706095
11442555
122a0753
131b9510
14145475
15de330
hexac62f

706095 has 48 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 322560.

The previous prime is 706067. The next prime is 706099. The reversal of 706095 is 590607.

It is not a de Polignac number, because 706095 - 27 = 705967 is a prime.

706095 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 706095.

It is not an unprimeable number, because it can be changed into a prime (706099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9910 + ... + 9980.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2706095 is an apocalyptic number.

706095 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.

706095 is a wasteful number, since it uses less digits than its factorization.

706095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 706095 is about 840.2945912000. The cubic root of 706095 is about 89.0473593838.

The spelling of 706095 in words is "seven hundred six thousand, ninety-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 71 85 117 153 195 213 221 255 355 585 639 663 765 923 1065 1105 1207 1989 2769 3195 3315 3621 4615 6035 8307 9945 10863 13845 15691 18105 41535 47073 54315 78455 141219 235365 706095