Search a number
-
+
12107280 = 243561827
BaseRepresentation
bin101110001011…
…111000010000
3211210010001210
4232023320100
511044413110
61111300120
7204624123
oct56137020
924703053
1012107280
11691a419
12407a640
13267ba93
1418723ba
1510e2520
hexb8be10

12107280 has 80 divisors (see below), whose sum is σ = 38193984. Its totient is φ = 3171840.

The previous prime is 12107279. The next prime is 12107321. The reversal of 12107280 is 8270121.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 14227 + ... + 15053.

Almost surely, 212107280 is an apocalyptic number.

12107280 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 12107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19096992).

12107280 is an abundant number, since it is smaller than the sum of its proper divisors (26086704).

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

12107280 is a wasteful number, since it uses less digits than its factorization.

12107280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 12107280 is about 3479.5516952619. The cubic root of 12107280 is about 229.6230751331.

The spelling of 12107280 in words is "twelve million, one hundred seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 827 915 976 1220 1464 1654 1830 2440 2481 2928 3308 3660 4135 4880 4962 6616 7320 8270 9924 12405 13232 14640 16540 19848 24810 33080 39696 49620 50447 66160 99240 100894 151341 198480 201788 252235 302682 403576 504470 605364 756705 807152 1008940 1210728 1513410 2017880 2421456 3026820 4035760 6053640 12107280