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12280576 = 28721189
BaseRepresentation
bin101110110110…
…001100000000
3212002220210011
4232312030000
511120434301
61115114304
7206245300
oct56661400
925086704
1012280576
116a28640
124142994
13270c919
1418b9600
151128a51
hexbb6300

12280576 has 108 divisors (see below), whose sum is σ = 31457160. Its totient is φ = 4730880.

The previous prime is 12280573. The next prime is 12280591. The reversal of 12280576 is 67508221.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12280573) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137940 + ... + 138028.

It is an arithmetic number, because the mean of its divisors is an integer number (291270).

Almost surely, 212280576 is an apocalyptic number.

12280576 is a gapful number since it is divisible by the number (16) 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 12280576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728580).

12280576 is an abundant number, since it is smaller than the sum of its proper divisors (19176584).

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

12280576 is an equidigital number, since it uses as much as digits as its factorization.

12280576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 12280576 is about 3504.3652777643. The cubic root of 12280576 is about 230.7134494008.

Adding to 12280576 its reverse (67508221), we get a palindrome (79788797).

The spelling of 12280576 in words is "twelve million, two hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 89 98 112 128 154 176 178 196 224 256 308 352 356 392 448 539 616 623 704 712 784 896 979 1078 1232 1246 1408 1424 1568 1792 1958 2156 2464 2492 2816 2848 3136 3916 4312 4361 4928 4984 5696 6272 6853 7832 8624 8722 9856 9968 11392 12544 13706 15664 17248 17444 19712 19936 22784 27412 31328 34496 34888 39872 47971 54824 62656 68992 69776 79744 95942 109648 125312 137984 139552 159488 191884 219296 250624 279104 383768 438592 558208 767536 877184 1116416 1535072 1754368 3070144 6140288 12280576