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11240008 = 23132337127
BaseRepresentation
bin101010111000…
…001001001000
3210011001101121
4222320021020
510334140013
61040525024
7164352463
oct52701110
923131347
1011240008
11638786a
123920774
1324370c0
1416c82da
15ec058d
hexab8248

11240008 has 64 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 4790016.

The previous prime is 11239993. The next prime is 11240017. The reversal of 11240008 is 80004211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11239973 and 11240000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88441 + ... + 88567.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 211240008 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 11240008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257280).

11240008 is an abundant number, since it is smaller than the sum of its proper divisors (13274552).

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

11240008 is a wasteful number, since it uses less digits than its factorization.

11240008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 11240008 is about 3352.6121159478. The cubic root of 11240008 is about 224.0038796097.

Adding to 11240008 its reverse (80004211), we get a palindrome (91244219).

The spelling of 11240008 in words is "eleven million, two hundred forty thousand, eight".

Divisors: 1 2 4 8 13 23 26 37 46 52 74 92 104 127 148 184 254 296 299 481 508 598 851 962 1016 1196 1651 1702 1924 2392 2921 3302 3404 3848 4699 5842 6604 6808 9398 11063 11684 13208 18796 22126 23368 37592 37973 44252 61087 75946 88504 108077 122174 151892 216154 244348 303784 432308 488696 864616 1405001 2810002 5620004 11240008