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12137860 = 2257181479
BaseRepresentation
bin101110010011…
…010110000100
3211211200000101
4232103112010
511101402420
61112053444
7205112230
oct56232604
924750011
1012137860
116940399
124094284
13268c987
14187d5c0
1510eb60a
hexb93584

12137860 has 48 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 4129920.

The previous prime is 12137857. The next prime is 12137861. The reversal of 12137860 is 6873121.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12137861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25101 + ... + 25579.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 212137860 is an apocalyptic number.

12137860 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 12137860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

12137860 is an abundant number, since it is smaller than the sum of its proper divisors (17215100).

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

12137860 is a wasteful number, since it uses less digits than its factorization.

12137860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 12137860 is about 3483.9431683080. The cubic root of 12137860 is about 229.8162363298.

The spelling of 12137860 in words is "twelve million, one hundred thirty-seven thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 479 724 905 958 1267 1810 1916 2395 2534 3353 3620 4790 5068 6335 6706 9580 12670 13412 16765 25340 33530 67060 86699 173398 346796 433495 606893 866990 1213786 1733980 2427572 3034465 6068930 12137860