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11782056 = 23311133433
BaseRepresentation
bin101100111100…
…011110101000
3211011120221110
4230330132220
511004011211
61100310320
7202101006
oct54743650
924146843
1011782056
116718040
123b423a0
132596a40
1417c9a76
15107aea6
hexb3c7a8

11782056 has 64 divisors (see below), whose sum is σ = 34614720. Its totient is φ = 3294720.

The previous prime is 11782039. The next prime is 11782073. The reversal of 11782056 is 65028711.

It is an interprime number because it is at equal distance from previous prime (11782039) and next prime (11782073).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1716 + ... + 5148.

It is an arithmetic number, because the mean of its divisors is an integer number (540855).

Almost surely, 211782056 is an apocalyptic number.

It is a pronic number, being equal to 3432×3433.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11782056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307360).

11782056 is an abundant number, since it is smaller than the sum of its proper divisors (22832664).

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

11782056 is a wasteful number, since it uses less digits than its factorization.

11782056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 11782056 is about 3432.4999635834. The cubic root of 11782056 is about 227.5483518369.

The spelling of 11782056 in words is "eleven million, seven hundred eighty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 3433 6866 10299 13732 20598 27464 37763 41196 44629 75526 82392 89258 113289 133887 151052 178516 226578 267774 302104 357032 453156 490919 535548 906312 981838 1071096 1472757 1963676 2945514 3927352 5891028 11782056