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12248720 = 2451131449
BaseRepresentation
bin101110101110…
…011010010000
3212001022002022
4232232122100
511113424340
61114311012
7206053361
oct56563220
925038068
1012248720
116a06710
124128468
1326cb283
1418abb68
15111e3b5
hexbae690

12248720 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 4300800.

The previous prime is 12248683. The next prime is 12248729. The reversal of 12248720 is 2784221.

12248720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×122487202 = 300062283276800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12248720.

It is not an unprimeable number, because it can be changed into a prime (12248729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27056 + ... + 27504.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 212248720 is an apocalyptic number.

12248720 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 12248720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12248720 is an abundant number, since it is smaller than the sum of its proper divisors (19892080).

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

12248720 is a wasteful number, since it uses less digits than its factorization.

12248720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 12248720 is about 3499.8171380802. The cubic root of 12248720 is about 230.5137852641.

The spelling of 12248720 in words is "twelve million, two hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 449 496 620 682 880 898 1240 1364 1705 1796 2245 2480 2728 3410 3592 4490 4939 5456 6820 7184 8980 9878 13640 13919 17960 19756 24695 27280 27838 35920 39512 49390 55676 69595 79024 98780 111352 139190 153109 197560 222704 278380 306218 395120 556760 612436 765545 1113520 1224872 1531090 2449744 3062180 6124360 12248720