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12783820 = 2257127719
BaseRepresentation
bin110000110001…
…000011001100
3220001111002211
4300301003030
511233040240
61134000204
7213442420
oct60610314
926044084
1012783820
117241745
124346064
1328579ba
1419aab80
1511c7bea
hexc310cc

12783820 has 48 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 4342464.

The previous prime is 12783817. The next prime is 12783839. The reversal of 12783820 is 2838721.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17421 + ... + 18139.

It is an arithmetic number, because the mean of its divisors is an integer number (645120).

Almost surely, 212783820 is an apocalyptic number.

12783820 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 12783820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

12783820 is an abundant number, since it is smaller than the sum of its proper divisors (18181940).

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

12783820 is a wasteful number, since it uses less digits than its factorization.

12783820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 12783820 is about 3575.4468252234. The cubic root of 12783820 is about 233.8228137330.

The spelling of 12783820 in words is "twelve million, seven hundred eighty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 719 889 1270 1438 1778 2540 2876 3556 3595 4445 5033 7190 8890 10066 14380 17780 20132 25165 50330 91313 100660 182626 365252 456565 639191 913130 1278382 1826260 2556764 3195955 6391910 12783820