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12002816 = 29717197
BaseRepresentation
bin101101110010…
…011000000000
3211120210202202
4231302120000
511033042231
61105132332
7204010430
oct55623000
924523682
1012002816
116858991
12402a0a8
132643377
1418462c0
1510c15cb
hexb72600

12002816 has 80 divisors (see below), whose sum is σ = 29167776. Its totient is φ = 4816896.

The previous prime is 12002777. The next prime is 12002843. The reversal of 12002816 is 61820021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60830 + ... + 61026.

Almost surely, 212002816 is an apocalyptic number.

12002816 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 12002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583888).

12002816 is an abundant number, since it is smaller than the sum of its proper divisors (17164960).

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

12002816 is an equidigital number, since it uses as much as digits as its factorization.

12002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12002816 is about 3464.5080458847. The cubic root of 12002816 is about 228.9607555284.

Adding to 12002816 its reverse (61820021), we get a palindrome (73822837).

The spelling of 12002816 in words is "twelve million, two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 197 224 238 256 272 394 448 476 512 544 788 896 952 1088 1379 1576 1792 1904 2176 2758 3152 3349 3584 3808 4352 5516 6304 6698 7616 8704 11032 12608 13396 15232 22064 23443 25216 26792 30464 44128 46886 50432 53584 60928 88256 93772 100864 107168 176512 187544 214336 353024 375088 428672 706048 750176 857344 1500352 1714688 3000704 6001408 12002816