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12084648 = 2332997179
BaseRepresentation
bin101110000110…
…010110101000
3211201222000120
4232012112220
511043202043
61111003240
7204501132
oct56062650
924658016
1012084648
116904414
124069520
1326716a4
141868052
1510da983
hexb865a8

12084648 has 64 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 3827712.

The previous prime is 12084647. The next prime is 12084661. The reversal of 12084648 is 84648021.

It is not an unprimeable number, because it can be changed into a prime (12084641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67423 + ... + 67601.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 212084648 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 12084648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

12084648 is an abundant number, since it is smaller than the sum of its proper divisors (19667352).

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

12084648 is a wasteful number, since it uses less digits than its factorization.

12084648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 12084648 is about 3476.2980309519. The cubic root of 12084648 is about 229.4799086270.

The spelling of 12084648 in words is "twelve million, eighty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 97 116 174 179 194 232 291 348 358 388 537 582 696 716 776 1074 1164 1432 2148 2328 2813 4296 5191 5626 8439 10382 11252 15573 16878 17363 20764 22504 31146 33756 34726 41528 52089 62292 67512 69452 104178 124584 138904 208356 416712 503527 1007054 1510581 2014108 3021162 4028216 6042324 12084648