Search a number
-
+
11418368 = 28134773
BaseRepresentation
bin101011100011…
…101100000000
3210111010001112
4223203230000
510410341433
61044422452
7166024463
oct53435400
923433045
1011418368
116499875
1239a7a28
13249a340
1417332da
151008348
hexae3b00

11418368 has 72 divisors (see below), whose sum is σ = 25411008. Its totient is φ = 5087232.

The previous prime is 11418367. The next prime is 11418371. The reversal of 11418368 is 86381411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11418361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156380 + ... + 156452.

Almost surely, 211418368 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 11418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705504).

11418368 is an abundant number, since it is smaller than the sum of its proper divisors (13992640).

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

11418368 is an equidigital number, since it uses as much as digits as its factorization.

11418368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 11418368 is about 3379.1075744936. The cubic root of 11418368 is about 225.1825218556.

Adding to 11418368 its reverse (86381411), we get a palindrome (97799779).

The spelling of 11418368 in words is "eleven million, four hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 73 94 104 128 146 188 208 256 292 376 416 584 611 752 832 949 1168 1222 1504 1664 1898 2336 2444 3008 3328 3431 3796 4672 4888 6016 6862 7592 9344 9776 12032 13724 15184 18688 19552 27448 30368 39104 44603 54896 60736 78208 89206 109792 121472 156416 178412 219584 242944 356824 439168 713648 878336 1427296 2854592 5709184 11418368