Search a number
-
+
11678706 = 23213291721
BaseRepresentation
bin101100100011…
…001111110010
3210222100011200
4230203033302
510442204311
61054152030
7201160464
oct54431762
923870150
1011678706
116657426
123ab2616
13255b9a0
1417a0134
15105a556
hexb233f2

11678706 has 48 divisors (see below), whose sum is σ = 28206360. Its totient is φ = 3467520.

The previous prime is 11678699. The next prime is 11678707. The reversal of 11678706 is 60787611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9455625 + 2223081 = 3075^2 + 1491^2 .

It is not an unprimeable number, because it can be changed into a prime (11678707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5926 + ... + 7646.

Almost surely, 211678706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11678706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103180).

11678706 is an abundant number, since it is smaller than the sum of its proper divisors (16527654).

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

11678706 is a wasteful number, since it uses less digits than its factorization.

11678706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 11678706 is about 3417.4121788277. The cubic root of 11678706 is about 226.8810596474.

The spelling of 11678706 in words is "eleven million, six hundred seventy-eight thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 1721 2262 3393 3442 5163 6786 10326 15489 22373 30978 44746 49909 67119 99818 134238 149727 201357 299454 402714 449181 648817 898362 1297634 1946451 3892902 5839353 11678706