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10197168 = 2431091949
BaseRepresentation
bin100110111001…
…100010110000
3201012001212220
4212321202300
510102302133
61002321040
7152450232
oct46714260
921161786
1010197168
115835313
1234b9180
132160537
1414d6252
15d665b3
hex9b98b0

10197168 has 40 divisors (see below), whose sum is σ = 26598000. Its totient is φ = 3366144.

The previous prime is 10197157. The next prime is 10197169. The reversal of 10197168 is 86179101.

It is not an unprimeable number, because it can be changed into a prime (10197169) 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 7 ways as a sum of consecutive naturals, for example, 4258 + ... + 6206.

It is an arithmetic number, because the mean of its divisors is an integer number (664950).

Almost surely, 210197168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10197168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13299000).

10197168 is an abundant number, since it is smaller than the sum of its proper divisors (16400832).

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

10197168 is a wasteful number, since it uses less digits than its factorization.

10197168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 10197168 is about 3193.3004869570. The cubic root of 10197168 is about 216.8502155346.

The spelling of 10197168 in words is "ten million, one hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 1949 2616 3898 5232 5847 7796 11694 15592 23388 31184 46776 93552 212441 424882 637323 849764 1274646 1699528 2549292 3399056 5098584 10197168