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12286020 = 2235972111
BaseRepresentation
bin101110110111…
…100001000100
3212010012020210
4232313201010
511121123040
61115155420
7206300205
oct56674104
925105223
1012286020
116a3173a
124145b70
132712246
1418bb5ac
15112a480
hexbb7844

12286020 has 48 divisors (see below), whose sum is σ = 34771968. Its totient is φ = 3240960.

The previous prime is 12285997. The next prime is 12286033. The reversal of 12286020 is 2068221.

12286020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 4765 + ... + 6875.

It is an arithmetic number, because the mean of its divisors is an integer number (724416).

Almost surely, 212286020 is an apocalyptic number.

12286020 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 12286020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17385984).

12286020 is an abundant number, since it is smaller than the sum of its proper divisors (22485948).

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

12286020 is a wasteful number, since it uses less digits than its factorization.

12286020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12286020 is about 3505.1419372117. The cubic root of 12286020 is about 230.7475362512.

The spelling of 12286020 in words is "twelve million, two hundred eighty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2111 2910 4222 5820 6333 8444 10555 12666 21110 25332 31665 42220 63330 126660 204767 409534 614301 819068 1023835 1228602 2047670 2457204 3071505 4095340 6143010 12286020