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12804096 = 2133521
BaseRepresentation
bin110000110110…
…000000000000
3220002111220210
4300312000000
511234212341
61134234120
7213555504
oct60660000
926074823
1012804096
1172559a8
124355940
132863cb6
1419b4304
1511cdc16
hexc36000

12804096 has 56 divisors (see below), whose sum is σ = 34207704. Its totient is φ = 4259840.

The previous prime is 12804061. The next prime is 12804107. The reversal of 12804096 is 69040821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24316 + ... + 24836.

Almost surely, 212804096 is an apocalyptic number.

12804096 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 12804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17103852).

12804096 is an abundant number, since it is smaller than the sum of its proper divisors (21403608).

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

12804096 is an frugal number, since it uses more digits than its factorization.

12804096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12804096 is about 3578.2811516146. The cubic root of 12804096 is about 233.9463680140.

The spelling of 12804096 in words is "twelve million, eight hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 521 768 1024 1042 1536 1563 2048 2084 3072 3126 4096 4168 6144 6252 8192 8336 12288 12504 16672 24576 25008 33344 50016 66688 100032 133376 200064 266752 400128 533504 800256 1067008 1600512 2134016 3201024 4268032 6402048 12804096