Search a number
-
+
12954280 = 235312337
BaseRepresentation
bin110001011010…
…101010101000
3220101010221011
4301122222220
511304014110
61141353304
7215052403
oct61325250
926333834
1012954280
117348819
124408834
1328b7471
141a12d3a
15120d48a
hexc5aaa8

12954280 has 48 divisors (see below), whose sum is σ = 30207060. Its totient is φ = 4999680.

The previous prime is 12954269. The next prime is 12954283. The reversal of 12954280 is 8245921.

It can be written as a sum of positive squares in 2 ways, for example, as 12489156 + 465124 = 3534^2 + 682^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (12954283) 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 11 ways as a sum of consecutive naturals, for example, 38272 + ... + 38608.

Almost surely, 212954280 is an apocalyptic number.

12954280 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 12954280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103530).

12954280 is an abundant number, since it is smaller than the sum of its proper divisors (17252780).

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

12954280 is a wasteful number, since it uses less digits than its factorization.

12954280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 12954280 is about 3599.2054678776. The cubic root of 12954280 is about 234.8574962199.

The spelling of 12954280 in words is "twelve million, nine hundred fifty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 337 620 674 961 1240 1348 1685 1922 2696 3370 3844 4805 6740 7688 9610 10447 13480 19220 20894 38440 41788 52235 83576 104470 208940 323857 417880 647714 1295428 1619285 2590856 3238570 6477140 12954280