Search a number
-
+
12799760 = 245193829
BaseRepresentation
bin110000110100…
…111100010000
3220002021222012
4300310330100
511234043020
61134202052
7213540041
oct60647420
926067865
1012799760
117252716
124353328
13286202c
1419b28c8
1511cc7c5
hexc34f10

12799760 has 40 divisors (see below), whose sum is σ = 29949720. Its totient is φ = 5087232.

The previous prime is 12799741. The next prime is 12799763. The reversal of 12799760 is 6799721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 633616 + 12166144 = 796^2 + 3488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12799763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15026 + ... + 15854.

It is an arithmetic number, because the mean of its divisors is an integer number (748743).

Almost surely, 212799760 is an apocalyptic number.

12799760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12799760 is an abundant number, since it is smaller than the sum of its proper divisors (17149960).

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

12799760 is a wasteful number, since it uses less digits than its factorization.

12799760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 41.

The square root of 12799760 is about 3577.6752228228. The cubic root of 12799760 is about 233.9199570390.

The spelling of 12799760 in words is "twelve million, seven hundred ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 829 965 1544 1658 1930 3088 3316 3860 4145 6632 7720 8290 13264 15440 16580 33160 66320 159997 319994 639988 799985 1279976 1599970 2559952 3199940 6399880 12799760