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12027820 = 2257531621
BaseRepresentation
bin101101111000…
…011110101100
3211122002001211
4231320132230
511034342240
61105444204
7204143350
oct55703654
924562054
1012027820
116875752
124040664
13265186c
141851460
1510c8bea
hexb787ac

12027820 has 48 divisors (see below), whose sum is σ = 29429568. Its totient is φ = 4043520.

The previous prime is 12027811. The next prime is 12027853. The reversal of 12027820 is 2872021.

It is a junction number, because it is equal to n+sod(n) for n = 12027791 and 12027800.

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, 6610 + ... + 8230.

It is an arithmetic number, because the mean of its divisors is an integer number (613116).

Almost surely, 212027820 is an apocalyptic number.

12027820 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 12027820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714784).

12027820 is an abundant number, since it is smaller than the sum of its proper divisors (17401748).

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

12027820 is a wasteful number, since it uses less digits than its factorization.

12027820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 12027820 is about 3468.1147616537. The cubic root of 12027820 is about 229.1196339108.

Adding to 12027820 its reverse (2872021), we get a palindrome (14899841).

The spelling of 12027820 in words is "twelve million, twenty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1621 1855 3242 3710 6484 7420 8105 11347 16210 22694 32420 45388 56735 85913 113470 171826 226940 343652 429565 601391 859130 1202782 1718260 2405564 3006955 6013910 12027820