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13568820 = 2235593833
BaseRepresentation
bin110011110000…
…101100110100
3221112100220220
4303300230310
511433200240
61202454340
7223222146
oct63605464
927470826
1013568820
117728501
1246643b0
132a710b5
141b32c96
1512d05d0
hexcf0b34

13568820 has 48 divisors (see below), whose sum is σ = 38646720. Its totient is φ = 3556096.

The previous prime is 13568813. The next prime is 13568837. The reversal of 13568820 is 2886531.

It is a happy number.

13568820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135688202 = 368225752384800, which contains 22 as substring.

It is a congruent number.

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, 1624 + ... + 5456.

It is an arithmetic number, because the mean of its divisors is an integer number (805140).

Almost surely, 213568820 is an apocalyptic number.

13568820 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 13568820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323360).

13568820 is an abundant number, since it is smaller than the sum of its proper divisors (25077900).

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

13568820 is a wasteful number, since it uses less digits than its factorization.

13568820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 13568820 is about 3683.5879248363. The cubic root of 13568820 is about 238.5140830874.

The spelling of 13568820 in words is "thirteen million, five hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 3833 7666 11499 15332 19165 22998 38330 45996 57495 76660 114990 226147 229980 452294 678441 904588 1130735 1356882 2261470 2713764 3392205 4522940 6784410 13568820