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12137820 = 2235892273
BaseRepresentation
bin101110010011…
…010101011100
3211211122221220
4232103111130
511101402240
61112053340
7205112142
oct56232534
924748856
1012137820
116940362
124094250
13268c956
14187d592
1510eb5d0
hexb9355c

12137820 has 48 divisors (see below), whose sum is σ = 34382880. Its totient is φ = 3198976.

The previous prime is 12137809. The next prime is 12137821. The reversal of 12137820 is 2873121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4204 + ... + 6476.

It is an arithmetic number, because the mean of its divisors is an integer number (716310).

Almost surely, 212137820 is an apocalyptic number.

12137820 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 12137820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191440).

12137820 is an abundant number, since it is smaller than the sum of its proper divisors (22245060).

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

12137820 is a wasteful number, since it uses less digits than its factorization.

12137820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12137820 is about 3483.9374276815. The cubic root of 12137820 is about 229.8159838784.

The spelling of 12137820 in words is "twelve million, one hundred thirty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2273 2670 4546 5340 6819 9092 11365 13638 22730 27276 34095 45460 68190 136380 202297 404594 606891 809188 1011485 1213782 2022970 2427564 3034455 4045940 6068910 12137820