Search a number
-
+
9705069 = 331141797
BaseRepresentation
bin100101000001…
…011001101101
3200021001212000
4211001121231
54441030234
6544002513
7145330443
oct45013155
920231760
109705069
115529620
123300439
13201a55a
141408b93
15cba899
hex94166d

9705069 has 32 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 5731200.

The previous prime is 9705043. The next prime is 9705083. The reversal of 9705069 is 9605079.

It is not a de Polignac number, because 9705069 - 25 = 9705037 is a prime.

It is a super-3 number, since 3×97050693 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9705089) 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 31 ways as a sum of consecutive naturals, for example, 11779 + ... + 12575.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 29705069 is an apocalyptic number.

9705069 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9705069 is a deficient number, since it is larger than the sum of its proper divisors (6382611).

9705069 is a wasteful number, since it uses less digits than its factorization.

9705069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 9705069 is about 3115.2959730979. The cubic root of 9705069 is about 213.3042666019.

It can be divided in two parts, 9 and 705069, that added together give a triangular number (705078 = T1187).

The spelling of 9705069 in words is "nine million, seven hundred five thousand, sixty-nine".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 797 1107 1353 2391 4059 7173 8767 12177 21519 26301 32677 78903 98031 236709 294093 359447 882279 1078341 3235023 9705069