Search a number
-
+
12250368 = 283213409
BaseRepresentation
bin101110101110…
…110100000000
3212001101100100
4232232310000
511114002433
61114322400
7206061234
oct56566400
925041310
1012250368
116a07979
124129400
1326cbc50
1418ac5c4
15111eb13
hexbaed00

12250368 has 108 divisors (see below), whose sum is σ = 38130820. Its totient is φ = 3760128.

The previous prime is 12250339. The next prime is 12250369. The reversal of 12250368 is 86305221.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 5531904 = 2592^2 + 2352^2 .

It is a super-2 number, since 2×122503682 = 300143032270848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12250369) 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, 29748 + ... + 30156.

Almost surely, 212250368 is an apocalyptic number.

12250368 is a gapful number since it is divisible by the number (18) 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 12250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19065410).

12250368 is an abundant number, since it is smaller than the sum of its proper divisors (25880452).

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

12250368 is a wasteful number, since it uses less digits than its factorization.

12250368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12250368 is about 3500.0525710338. The cubic root of 12250368 is about 230.5241229343.

Adding to 12250368 its reverse (86305221), we get a palindrome (98555589).

The spelling of 12250368 in words is "twelve million, two hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 409 416 468 576 624 768 818 832 936 1152 1227 1248 1636 1664 1872 2304 2454 2496 3272 3328 3681 3744 4908 4992 5317 6544 7362 7488 9816 9984 10634 13088 14724 14976 15951 19632 21268 26176 29448 29952 31902 39264 42536 47853 52352 58896 63804 78528 85072 95706 104704 117792 127608 157056 170144 191412 235584 255216 314112 340288 382824 471168 510432 680576 765648 942336 1020864 1361152 1531296 2041728 3062592 4083456 6125184 12250368