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11835056 = 2431107223
BaseRepresentation
bin101101001001…
…011010110000
3211021021122102
4231021122300
511012210211
61101355532
7202411352
oct55113260
924237572
1011835056
116753942
123b68ba8
1325b4bbc
1418010d2
15108ba3b
hexb496b0

11835056 has 40 divisors (see below), whose sum is σ = 23998464. Its totient is φ = 5647680.

The previous prime is 11835049. The next prime is 11835071. The reversal of 11835056 is 65053811.

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, 52961 + ... + 53183.

Almost surely, 211835056 is an apocalyptic number.

11835056 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 11835056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999232).

11835056 is an abundant number, since it is smaller than the sum of its proper divisors (12163408).

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

11835056 is a wasteful number, since it uses less digits than its factorization.

11835056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 11835056 is about 3440.2116213977. The cubic root of 11835056 is about 227.8890400885.

Adding to 11835056 its reverse (65053811), we get a palindrome (76888867).

The spelling of 11835056 in words is "eleven million, eight hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 31 62 107 124 214 223 248 428 446 496 856 892 1712 1784 3317 3568 6634 6913 13268 13826 23861 26536 27652 47722 53072 55304 95444 110608 190888 381776 739691 1479382 2958764 5917528 11835056