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11885328 = 2432713907
BaseRepresentation
bin101101010101…
…101100010000
3211100211121100
4231111230100
511020312303
61102424400
7203011050
oct55255420
924324540
1011885328
116788694
123b92100
132601a50
141815560
15109b8a3
hexb55b10

11885328 has 120 divisors (see below), whose sum is σ = 40983488. Its totient is φ = 3131136.

The previous prime is 11885323. The next prime is 11885333. The reversal of 11885328 is 82358811.

11885328 is a `hidden beast` number, since 118 + 8 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11885323) and next prime (11885333).

It is a super-2 number, since 2×118853282 = 282522043335168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11885292 and 11885301.

It is not an unprimeable number, because it can be changed into a prime (11885323) 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 23 ways as a sum of consecutive naturals, for example, 12651 + ... + 13557.

Almost surely, 211885328 is an apocalyptic number.

11885328 is a gapful number since it is divisible by the number (18) 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 11885328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491744).

11885328 is an abundant number, since it is smaller than the sum of its proper divisors (29098160).

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

11885328 is a wasteful number, since it uses less digits than its factorization.

11885328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 932 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 11885328 is about 3447.5104060757. The cubic root of 11885328 is about 228.2112538786.

The spelling of 11885328 in words is "eleven million, eight hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 907 936 1008 1092 1456 1638 1814 1872 2184 2721 3276 3628 4368 5442 6349 6552 7256 8163 10884 11791 12698 13104 14512 16326 19047 21768 23582 25396 32652 35373 38094 43536 47164 50792 57141 65304 70746 76188 82537 94328 101584 106119 114282 130608 141492 152376 165074 188656 212238 228564 247611 282984 304752 330148 424476 457128 495222 565968 660296 742833 848952 914256 990444 1320592 1485666 1697904 1980888 2971332 3961776 5942664 11885328