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11231136 = 25347619
BaseRepresentation
bin101010110101…
…111110100000
3210010121020000
4222311332200
510333344021
61040420000
7164314560
oct52657640
923117200
1011231136
116381134
123917600
132433057
1416c4da0
15ebcb26
hexab5fa0

11231136 has 120 divisors (see below), whose sum is σ = 37810080. Its totient is φ = 3203712.

The previous prime is 11231119. The next prime is 11231141. The reversal of 11231136 is 63113211.

It is a super-2 number, since 2×112311362 = 252276831700992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17835 + ... + 18453.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 211231136 is an apocalyptic number.

11231136 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 11231136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18905040).

11231136 is an abundant number, since it is smaller than the sum of its proper divisors (26578944).

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

11231136 is an equidigital number, since it uses as much as digits as its factorization.

11231136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 11231136 is about 3351.2887073483. The cubic root of 11231136 is about 223.9449269369.

Adding to 11231136 its reverse (63113211), we get a palindrome (74344347).

The spelling of 11231136 in words is "eleven million, two hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 619 648 672 756 864 1008 1134 1238 1296 1512 1857 2016 2268 2476 2592 3024 3714 4333 4536 4952 5571 6048 7428 8666 9072 9904 11142 12999 14856 16713 17332 18144 19808 22284 25998 29712 33426 34664 38997 44568 50139 51996 59424 66852 69328 77994 89136 100278 103992 116991 133704 138656 155988 178272 200556 207984 233982 267408 311976 350973 401112 415968 467964 534816 623952 701946 802224 935928 1247904 1403892 1604448 1871856 2807784 3743712 5615568 11231136