Search a number
-
+
10066805 = 572172417
BaseRepresentation
bin100110011001…
…101101110101
3200221110001122
4212121231311
510034114210
6555433325
7151365200
oct46315565
920843048
1010066805
115756381
123455845
1321160b8
1414a0937
15d3cb55
hex999b75

10066805 has 24 divisors (see below), whose sum is σ = 14885208. Its totient is φ = 6494208.

The previous prime is 10066783. The next prime is 10066807. The reversal of 10066805 is 50866001.

10066805 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4986289 + 5080516 = 2233^2 + 2254^2 .

It is not a de Polignac number, because 10066805 - 212 = 10062709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2957 + ... + 5373.

It is an arithmetic number, because the mean of its divisors is an integer number (620217).

Almost surely, 210066805 is an apocalyptic number.

It is an amenable number.

10066805 is a deficient number, since it is larger than the sum of its proper divisors (4818403).

10066805 is a wasteful number, since it uses less digits than its factorization.

10066805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 10066805 is about 3172.8228756109. The cubic root of 10066805 is about 215.9221613107.

The spelling of 10066805 in words is "ten million, sixty-six thousand, eight hundred five".

Divisors: 1 5 7 17 35 49 85 119 245 595 833 2417 4165 12085 16919 41089 84595 118433 205445 287623 592165 1438115 2013361 10066805