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12049128 = 2333713613
BaseRepresentation
bin101101111101…
…101011101000
3211200011022000
4231331223220
511041033003
61110131000
7204262440
oct55755350
924604260
1012049128
11688a763
124050a60
13265b480
141859120
1510d01a3
hexb7dae8

12049128 has 128 divisors (see below), whose sum is σ = 41260800. Its totient is φ = 3172608.

The previous prime is 12049109. The next prime is 12049133. The reversal of 12049128 is 82194021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19350 + ... + 19962.

It is an arithmetic number, because the mean of its divisors is an integer number (322350).

Almost surely, 212049128 is an apocalyptic number.

12049128 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 12049128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20630400).

12049128 is an abundant number, since it is smaller than the sum of its proper divisors (29211672).

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

12049128 is a wasteful number, since it uses less digits than its factorization.

12049128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12049128 is about 3471.1853883076. The cubic root of 12049128 is about 229.2548537880.

The spelling of 12049128 in words is "twelve million, forty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 613 702 728 756 819 936 1092 1226 1404 1512 1638 1839 2184 2452 2457 2808 3276 3678 4291 4904 4914 5517 6552 7356 7969 8582 9828 11034 12873 14712 15938 16551 17164 19656 22068 23907 25746 31876 33102 34328 38619 44136 47814 51492 55783 63752 66204 71721 77238 95628 102984 111566 115857 132408 143442 154476 167349 191256 215163 223132 231714 286884 308952 334698 430326 446264 463428 502047 573768 669396 860652 926856 1004094 1338792 1506141 1721304 2008188 3012282 4016376 6024564 12049128