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12809960 = 2352931093
BaseRepresentation
bin110000110111…
…011011101000
3220002210221222
4300313123220
511234404320
61134321212
7213611552
oct60673350
926083858
1012809960
11725a349
124359208
132866877
1419b64d2
1511d0825
hexc376e8

12809960 has 32 divisors (see below), whose sum is σ = 28947240. Its totient is φ = 5101824.

The previous prime is 12809957. The next prime is 12809963. The reversal of 12809960 is 6990821.

It is an interprime number because it is at equal distance from previous prime (12809957) and next prime (12809963).

It can be written as a sum of positive squares in 4 ways, for example, as 12545764 + 264196 = 3542^2 + 514^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12809960.

It is not an unprimeable number, because it can be changed into a prime (12809963) 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 7 ways as a sum of consecutive naturals, for example, 11174 + ... + 12266.

Almost surely, 212809960 is an apocalyptic number.

12809960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12809960 is an abundant number, since it is smaller than the sum of its proper divisors (16137280).

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

12809960 is a wasteful number, since it uses less digits than its factorization.

12809960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 12809960 is about 3579.1004456427. The cubic root of 12809960 is about 233.9820766947.

The spelling of 12809960 in words is "twelve million, eight hundred nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 293 586 1093 1172 1465 2186 2344 2930 4372 5465 5860 8744 10930 11720 21860 43720 320249 640498 1280996 1601245 2561992 3202490 6404980 12809960