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12027400 = 2352711271
BaseRepresentation
bin101101111000…
…011000001000
3211122001111021
4231320120020
511034334100
61105442224
7204142210
oct55703010
924561437
1012027400
116875400
124040374
132651608
141851240
1510c8a1a
hexb78608

12027400 has 144 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 3696000.

The previous prime is 12027377. The next prime is 12027427. The reversal of 12027400 is 472021.

12027400 = T384 + T385 + ... + T504.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169365 + ... + 169435.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 212027400 is an apocalyptic number.

12027400 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 12027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

12027400 is an abundant number, since it is smaller than the sum of its proper divisors (23595320).

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

12027400 is a wasteful number, since it uses less digits than its factorization.

12027400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 12027400 is about 3468.0542094956. The cubic root of 12027400 is about 229.1169670001.

Adding to 12027400 its reverse (472021), we get a palindrome (12499421).

The spelling of 12027400 in words is "twelve million, twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 71 77 88 100 110 121 140 142 154 175 200 220 242 275 280 284 308 350 355 385 440 484 497 550 568 605 616 700 710 770 781 847 968 994 1100 1210 1400 1420 1540 1562 1694 1775 1925 1988 2200 2420 2485 2840 3025 3080 3124 3388 3550 3850 3905 3976 4235 4840 4970 5467 6050 6248 6776 7100 7700 7810 8470 8591 9940 10934 12100 12425 14200 15400 15620 16940 17182 19525 19880 21175 21868 24200 24850 27335 31240 33880 34364 39050 42350 42955 43736 49700 54670 60137 68728 78100 84700 85910 99400 109340 120274 136675 156200 169400 171820 214775 218680 240548 273350 300685 343640 429550 481096 546700 601370 859100 1093400 1202740 1503425 1718200 2405480 3006850 6013700 12027400