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12050640 = 243357797
BaseRepresentation
bin101101111110…
…000011010000
3211200020101000
4231332003100
511041110030
61110142000
7204300030
oct55760320
924606330
1012050640
116890908
124051900
13265c074
1418598c0
1510d0860
hexb7e0d0

12050640 has 160 divisors (see below), whose sum is σ = 47496960. Its totient is φ = 2750976.

The previous prime is 12050639. The next prime is 12050653. The reversal of 12050640 is 4605021.

It is a happy number.

12050640 is a `hidden beast` number, since 1 + 20 + 5 + 0 + 640 = 666.

12050640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 14722 + ... + 15518.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 212050640 is an apocalyptic number.

12050640 is a gapful number since it is divisible by the number (10) 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 12050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

12050640 is an abundant number, since it is smaller than the sum of its proper divisors (35446320).

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

12050640 is a wasteful number, since it uses less digits than its factorization.

12050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12050640 is about 3471.4031745103. The cubic root of 12050640 is about 229.2644428316.

Adding to 12050640 its reverse (4605021), we get a palindrome (16655661).

The spelling of 12050640 in words is "twelve million, fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 797 840 945 1008 1080 1260 1512 1594 1680 1890 2160 2391 2520 3024 3188 3780 3985 4782 5040 5579 6376 7173 7560 7970 9564 11158 11955 12752 14346 15120 15940 16737 19128 21519 22316 23910 27895 28692 31880 33474 35865 38256 43038 44632 47820 50211 55790 57384 63760 66948 71730 83685 86076 89264 95640 100422 107595 111580 114768 133896 143460 150633 167370 172152 191280 200844 215190 223160 251055 267792 286920 301266 334740 344304 401688 430380 446320 502110 573840 602532 669480 753165 803376 860760 1004220 1205064 1338960 1506330 1721520 2008440 2410128 3012660 4016880 6025320 12050640