Search a number
-
+
11315682 = 2327312897
BaseRepresentation
bin101011001010…
…100111100010
3210021220012100
4223022213202
510344100212
61042311230
7165116220
oct53124742
923256170
1011315682
116429704
123958516
132462691
141707b10
15ed7bdc
hexaca9e2

11315682 has 48 divisors (see below), whose sum is σ = 28933632. Its totient is φ = 3127680.

The previous prime is 11315663. The next prime is 11315687. The reversal of 11315682 is 28651311.

11315682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113156823 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11315687) 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, 2458 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (602784).

Almost surely, 211315682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11315682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466816).

11315682 is an abundant number, since it is smaller than the sum of its proper divisors (17617950).

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

11315682 is a wasteful number, since it uses less digits than its factorization.

11315682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2940 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11315682 is about 3363.8790109039. The cubic root of 11315682 is about 224.5054619763.

Adding to 11315682 its reverse (28651311), we get a palindrome (39966993).

The spelling of 11315682 in words is "eleven million, three hundred fifteen thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 2897 3906 5794 8691 17382 20279 26073 40558 52146 60837 89807 121674 179614 182511 269421 365022 538842 628649 808263 1257298 1616526 1885947 3771894 5657841 11315682