Search a number
-
+
12254424 = 23371331181
BaseRepresentation
bin101110101111…
…110011011000
3212001120220120
4232233303120
511114120144
61114353240
7206106120
oct56576330
925046816
1012254424
116a0aa26
12412b820
132700a50
1418adc80
151120e19
hexbafcd8

12254424 has 128 divisors (see below), whose sum is σ = 39137280. Its totient is φ = 3110400.

The previous prime is 12254419. The next prime is 12254447. The reversal of 12254424 is 42445221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12254394 and 12254403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67614 + ... + 67794.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 212254424 is an apocalyptic number.

12254424 is a gapful number since it is divisible by the number (14) 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 12254424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568640).

12254424 is an abundant number, since it is smaller than the sum of its proper divisors (26882856).

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

12254424 is a wasteful number, since it uses less digits than its factorization.

12254424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 12254424 is about 3500.6319429497. The cubic root of 12254424 is about 230.5495616986.

Adding to 12254424 its reverse (42445221), we get a palindrome (54699645).

The spelling of 12254424 in words is "twelve million, two hundred fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 181 182 186 217 248 273 312 362 364 372 403 434 543 546 651 724 728 744 806 868 1086 1092 1209 1267 1302 1448 1612 1736 2172 2184 2353 2418 2534 2604 2821 3224 3801 4344 4706 4836 5068 5208 5611 5642 7059 7602 8463 9412 9672 10136 11222 11284 14118 15204 16471 16833 16926 18824 22444 22568 28236 30408 32942 33666 33852 39277 44888 49413 56472 65884 67332 67704 72943 78554 98826 117831 131768 134664 145886 157108 197652 218829 235662 291772 314216 395304 437658 471324 510601 583544 875316 942648 1021202 1531803 1750632 2042404 3063606 4084808 6127212 12254424