Search a number
-
+
11196144 = 243453163
BaseRepresentation
bin101010101101…
…011011110000
3210001211020000
4222231123300
510331234034
61035550000
7164110551
oct52553360
923054200
1011196144
116357913
1238bb300
13242014b
1416b6328
15eb2599
hexaad6f0

11196144 has 100 divisors (see below), whose sum is σ = 33218856. Its totient is φ = 3639168.

The previous prime is 11196139. The next prime is 11196167. The reversal of 11196144 is 44169111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 68607 + ... + 68769.

Almost surely, 211196144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11196144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609428).

11196144 is an abundant number, since it is smaller than the sum of its proper divisors (22022712).

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

11196144 is a wasteful number, since it uses less digits than its factorization.

11196144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11196144 is about 3346.0639563523. The cubic root of 11196144 is about 223.7121088943.

The spelling of 11196144 in words is "eleven million, one hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 163 212 216 318 324 326 424 432 477 489 636 648 652 848 954 978 1272 1296 1304 1431 1467 1908 1956 2544 2608 2862 2934 3816 3912 4293 4401 5724 5868 7632 7824 8586 8639 8802 11448 11736 13203 17172 17278 17604 22896 23472 25917 26406 34344 34556 35208 51834 52812 68688 69112 70416 77751 103668 105624 138224 155502 207336 211248 233253 311004 414672 466506 622008 699759 933012 1244016 1399518 1866024 2799036 3732048 5598072 11196144