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12068820 = 2232567049
BaseRepresentation
bin101110000010…
…011111010100
3211201011022100
4232002133110
511042200240
61110402100
7204404031
oct56023724
924634270
1012068820
1168a3535
124060330
13266741a
141862388
1510d5e30
hexb827d4

12068820 has 36 divisors (see below), whose sum is σ = 36609300. Its totient is φ = 3218304.

The previous prime is 12068809. The next prime is 12068831. The reversal of 12068820 is 2886021.

12068820 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 interprime number because it is at equal distance from previous prime (12068809) and next prime (12068831).

It can be written as a sum of positive squares in 2 ways, for example, as 4384836 + 7683984 = 2094^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33345 + ... + 33704.

It is an arithmetic number, because the mean of its divisors is an integer number (1016925).

Almost surely, 212068820 is an apocalyptic number.

12068820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12068820 is an abundant number, since it is smaller than the sum of its proper divisors (24540480).

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

12068820 is a wasteful number, since it uses less digits than its factorization.

12068820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67064 (or 67059 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12068820 is about 3474.0207253268. The cubic root of 12068820 is about 229.3796769136.

The spelling of 12068820 in words is "twelve million, sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67049 134098 201147 268196 335245 402294 603441 670490 804588 1005735 1206882 1340980 2011470 2413764 3017205 4022940 6034410 12068820