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11840296 = 23131737181
BaseRepresentation
bin101101001010…
…101100101000
3211021112211111
4231022230220
511012342141
61101440104
7202432546
oct55125450
924245744
1011840296
116757876
123b70034
1325b73c0
141802d96
15108d381
hexb4ab28

11840296 has 64 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 4976640.

The previous prime is 11840273. The next prime is 11840303. The reversal of 11840296 is 69204811.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4056196 + 7784100 = 2014^2 + 2790^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65326 + ... + 65506.

Almost surely, 211840296 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 11840296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

11840296 is an abundant number, since it is smaller than the sum of its proper divisors (14302184).

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

11840296 is a wasteful number, since it uses less digits than its factorization.

11840296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 11840296 is about 3440.9731181746. The cubic root of 11840296 is about 227.9226679361.

The spelling of 11840296 in words is "eleven million, eight hundred forty thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 17 26 34 37 52 68 74 104 136 148 181 221 296 362 442 481 629 724 884 962 1258 1448 1768 1924 2353 2516 3077 3848 4706 5032 6154 6697 8177 9412 12308 13394 16354 18824 24616 26788 32708 40001 53576 65416 80002 87061 113849 160004 174122 227698 320008 348244 455396 696488 910792 1480037 2960074 5920148 11840296