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11245312 = 281331109
BaseRepresentation
bin101010111001…
…011100000000
3210011022200001
4222321130000
510334322222
61041005344
7164404111
oct52713400
923138601
1011245312
116390851
123923854
132439640
1416ca208
15ec1e27
hexab9700

11245312 has 72 divisors (see below), whose sum is σ = 25182080. Its totient is φ = 4976640.

The previous prime is 11245303. The next prime is 11245319. The reversal of 11245312 is 21354211.

It is a self number, because there is not a number n which added to its sum of digits gives 11245312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11245319) 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, 103114 + ... + 103222.

Almost surely, 211245312 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 11245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12591040).

11245312 is an abundant number, since it is smaller than the sum of its proper divisors (13936768).

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

11245312 is a wasteful number, since it uses less digits than its factorization.

11245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 11245312 is about 3353.4030476517. The cubic root of 11245312 is about 224.0391088177.

Adding to 11245312 its reverse (21354211), we get a palindrome (32599523).

The spelling of 11245312 in words is "eleven million, two hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 109 124 128 208 218 248 256 403 416 436 496 806 832 872 992 1417 1612 1664 1744 1984 2834 3224 3328 3379 3488 3968 5668 6448 6758 6976 7936 11336 12896 13516 13952 22672 25792 27032 27904 43927 45344 51584 54064 87854 90688 103168 108128 175708 181376 216256 351416 362752 432512 702832 865024 1405664 2811328 5622656 11245312