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11391296 = 26747541
BaseRepresentation
bin101011011101…
…000101000000
3210102201220212
4223131011000
510404010141
61044053252
7165552530
oct53350500
923381825
1011391296
1164804a4
123994228
13248ac17
1417274c0
1510002eb
hexadd140

11391296 has 56 divisors (see below), whose sum is σ = 26432256. Its totient is φ = 4769280.

The previous prime is 11391293. The next prime is 11391329. The reversal of 11391296 is 69219311.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11391293) 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, 20786 + ... + 21326.

Almost surely, 211391296 is an apocalyptic number.

11391296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11391296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13216128).

11391296 is an abundant number, since it is smaller than the sum of its proper divisors (15040960).

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

11391296 is an equidigital number, since it uses as much as digits as its factorization.

11391296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its digits is 2916, while the sum is 32.

The square root of 11391296 is about 3375.0994059435. The cubic root of 11391296 is about 225.0044180202.

The spelling of 11391296 in words is "eleven million, three hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 541 658 752 1082 1316 1504 2164 2632 3008 3787 4328 5264 7574 8656 10528 15148 17312 21056 25427 30296 34624 50854 60592 101708 121184 177989 203416 242368 355978 406832 711956 813664 1423912 1627328 2847824 5695648 11391296