Search a number
-
+
1005316686 = 2321113737061
BaseRepresentation
bin111011111010111…
…110101001001110
32121001200101020100
4323322332221032
54024330113221
6243431231530
733625023303
oct7372765116
92531611210
101005316686
11476525340
122408185a6
1313037c15a
14977330aa
155d3d1926
hex3bebea4e

1005316686 has 48 divisors (see below), whose sum is σ = 2393612208. Its totient is φ = 302409600.

The previous prime is 1005316673. The next prime is 1005316691. The reversal of 1005316686 is 6866135001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005316686.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8596 + ... + 45656.

It is an arithmetic number, because the mean of its divisors is an integer number (49866921).

Almost surely, 21005316686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005316686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196806104).

1005316686 is an abundant number, since it is smaller than the sum of its proper divisors (1388295522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005316686 is a wasteful number, since it uses less digits than its factorization.

1005316686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37217 (or 37214 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1005316686 is about 31706.7293488307. The cubic root of 1005316686 is about 1001.7690971165.

The spelling of 1005316686 in words is "one billion, five million, three hundred sixteen thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 274 411 822 1233 1507 2466 3014 4521 9042 13563 27126 37061 74122 111183 222366 333549 407671 667098 815342 1223013 2446026 3669039 5077357 7338078 10154714 15232071 30464142 45696213 55850927 91392426 111701854 167552781 335105562 502658343 1005316686