Search a number
-
+
11824146 = 2321722273
BaseRepresentation
bin101101000110…
…110000010010
3211020201200100
4231012300102
511011333041
61101233230
7202334505
oct55066022
924221610
1011824146
116746724
123b62816
1325acc49
1417db13c
1510886b6
hexb46c12

11824146 has 36 divisors (see below), whose sum is σ = 27226602. Its totient is φ = 3707904.

The previous prime is 11824133. The next prime is 11824147. The reversal of 11824146 is 64142811.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11634921 + 189225 = 3411^2 + 435^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11824147) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4066 + ... + 6338.

Almost surely, 211824146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11824146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13613301).

11824146 is an abundant number, since it is smaller than the sum of its proper divisors (15402456).

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

11824146 is a wasteful number, since it uses less digits than its factorization.

11824146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2295 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11824146 is about 3438.6255975317. The cubic root of 11824146 is about 227.8189929957.

Adding to 11824146 its reverse (64142811), we get a palindrome (75966957).

The spelling of 11824146 in words is "eleven million, eight hundred twenty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2273 2601 4546 5202 6819 13638 20457 38641 40914 77282 115923 231846 347769 656897 695538 1313794 1970691 3941382 5912073 11824146