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11451136 = 28411091
BaseRepresentation
bin101011101011…
…101100000000
3210112210000011
4223223230000
510412414021
61045234304
7166222144
oct53535400
923483004
1011451136
116511454
123a02994
1324ac228
141741224
151012de1
hexaebb00

11451136 has 36 divisors (see below), whose sum is σ = 23436504. Its totient is φ = 5580800.

The previous prime is 11451131. The next prime is 11451137. The reversal of 11451136 is 63115411.

It is a super-2 number, since 2×114511362 = 262257031380992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451131) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 9951 + ... + 11041.

It is an arithmetic number, because the mean of its divisors is an integer number (651014).

Almost surely, 211451136 is an apocalyptic number.

11451136 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 11451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718252).

11451136 is an abundant number, since it is smaller than the sum of its proper divisors (11985368).

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

11451136 is an equidigital number, since it uses as much as digits as its factorization.

11451136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1134 counting only the distinct ones).

The product of its digits is 360, while the sum is 22.

The square root of 11451136 is about 3383.9527183458. The cubic root of 11451136 is about 225.3977228855.

Adding to 11451136 its reverse (63115411), we get a palindrome (74566547).

The spelling of 11451136 in words is "eleven million, four hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1091 1312 2182 2624 4364 5248 8728 10496 17456 34912 44731 69824 89462 139648 178924 279296 357848 715696 1431392 2862784 5725568 11451136