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11242336 = 257311619
BaseRepresentation
bin101010111000…
…101101100000
3210011011120211
4222320231200
510334223321
61040543504
7164362330
oct52705540
923134524
1011242336
116389596
123921b94
132438191
1416c90c0
15ec10e1
hexab8b60

11242336 has 48 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 4659840.

The previous prime is 11242327. The next prime is 11242373. The reversal of 11242336 is 63324211.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6135 + ... + 7753.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 211242336 is an apocalyptic number.

11242336 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 11242336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

11242336 is an abundant number, since it is smaller than the sum of its proper divisors (14885024).

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

11242336 is a wasteful number, since it uses less digits than its factorization.

11242336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1659 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 11242336 is about 3352.9592899408. The cubic root of 11242336 is about 224.0193435676.

Adding to 11242336 its reverse (63324211), we get a palindrome (74566547).

It can be divided in two parts, 112 and 42336, that multiplied together give a cube (4741632 = 1683).

The spelling of 11242336 in words is "eleven million, two hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1619 1736 3238 3472 6476 6944 11333 12952 22666 25904 45332 50189 51808 90664 100378 181328 200756 351323 362656 401512 702646 803024 1405292 1606048 2810584 5621168 11242336