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12241480 = 2352961173
BaseRepresentation
bin101110101100…
…101001001000
3212000221011011
4232230221020
511113211410
61114213304
7206023306
oct56545110
925027134
1012241480
116a01229
124124234
1326c7ba4
1418a9276
15111c18a
hexbaca48

12241480 has 64 divisors (see below), whose sum is σ = 29127600. Its totient is φ = 4623360.

The previous prime is 12241477. The next prime is 12241483. The reversal of 12241480 is 8414221.

It is an interprime number because it is at equal distance from previous prime (12241477) and next prime (12241483).

It can be written as a sum of positive squares in 8 ways, for example, as 4656964 + 7584516 = 2158^2 + 2754^2 .

It is not an unprimeable number, because it can be changed into a prime (12241483) 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 15 ways as a sum of consecutive naturals, for example, 70674 + ... + 70846.

Almost surely, 212241480 is an apocalyptic number.

12241480 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 12241480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563800).

12241480 is an abundant number, since it is smaller than the sum of its proper divisors (16886120).

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

12241480 is a wasteful number, since it uses less digits than its factorization.

12241480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 12241480 is about 3498.7826454354. The cubic root of 12241480 is about 230.4683587832.

It can be divided in two parts, 12241 and 480, that added together give a palindrome (12721).

The spelling of 12241480 in words is "twelve million, two hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 173 232 244 290 305 346 488 580 610 692 865 1160 1220 1384 1730 1769 2440 3460 3538 5017 6920 7076 8845 10034 10553 14152 17690 20068 21106 25085 35380 40136 42212 50170 52765 70760 84424 100340 105530 200680 211060 306037 422120 612074 1224148 1530185 2448296 3060370 6120740 12241480