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11419056 = 24361189
BaseRepresentation
bin101011100011…
…110110110000
3210111011000000
4223203312300
510410402211
61044430000
7166026465
oct53436660
923434000
1011419056
11649a340
1239a8300
13249a74c
14173366c
151008656
hexae3db0

11419056 has 140 divisors (see below), whose sum is σ = 36593640. Its totient is φ = 3421440.

The previous prime is 11419049. The next prime is 11419099. The reversal of 11419056 is 65091411.

It is a super-2 number, since 2×114190562 = 260789679862272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 128260 + ... + 128348.

Almost surely, 211419056 is an apocalyptic number.

11419056 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 11419056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18296820).

11419056 is an abundant number, since it is smaller than the sum of its proper divisors (25174584).

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

11419056 is an equidigital number, since it uses as much as digits as its factorization.

11419056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11419056 is about 3379.2093749870. The cubic root of 11419056 is about 225.1870444652.

The spelling of 11419056 in words is "eleven million, four hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 89 99 108 132 144 162 176 178 198 216 243 264 267 297 324 356 396 432 486 528 534 594 648 712 729 792 801 891 972 979 1068 1188 1296 1424 1458 1584 1602 1782 1944 1958 2136 2376 2403 2673 2916 2937 3204 3564 3888 3916 4272 4752 4806 5346 5832 5874 6408 7128 7209 7832 8019 8811 9612 10692 11664 11748 12816 14256 14418 15664 16038 17622 19224 21384 21627 23496 26433 28836 32076 35244 38448 42768 43254 46992 52866 57672 64152 64881 70488 79299 86508 105732 115344 128304 129762 140976 158598 173016 211464 237897 259524 317196 346032 422928 475794 519048 634392 713691 951588 1038096 1268784 1427382 1903176 2854764 3806352 5709528 11419056