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12280352 = 25773751
BaseRepresentation
bin101110110110…
…001000100000
3212002220110212
4232312020200
511120432402
61115113252
7206244530
oct56661040
925086425
1012280352
116a28457
124142828
13270c7a6
1418b94c0
151128952
hexbb6220

12280352 has 48 divisors (see below), whose sum is σ = 28046592. Its totient is φ = 5184000.

The previous prime is 12280351. The next prime is 12280357. The reversal of 12280352 is 25308221.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12280351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15977 + ... + 16727.

It is an arithmetic number, because the mean of its divisors is an integer number (584304).

Almost surely, 212280352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12280352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023296).

12280352 is an abundant number, since it is smaller than the sum of its proper divisors (15766240).

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

12280352 is an equidigital number, since it uses as much as digits as its factorization.

12280352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12280352 is about 3504.3333174799. Note that the first 4 decimals coincide. The cubic root of 12280352 is about 230.7120466402.

Adding to 12280352 its reverse (25308221), we get a palindrome (37588573).

The spelling of 12280352 in words is "twelve million, two hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 751 1022 1168 1502 2044 2336 3004 4088 5257 6008 8176 10514 12016 16352 21028 24032 42056 54823 84112 109646 168224 219292 383761 438584 767522 877168 1535044 1754336 3070088 6140176 12280352