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12029984 = 253167181
BaseRepresentation
bin101101111001…
…000000100000
3211122012000222
4231321000200
511034424414
61105502212
7204152561
oct55710040
924565028
1012029984
11687733a
124041968
132652845
141852168
1510c968e
hexb79020

12029984 has 48 divisors (see below), whose sum is σ = 24950016. Its totient is φ = 5702400.

The previous prime is 12029959. The next prime is 12029987. The reversal of 12029984 is 48992021.

It is not an unprimeable number, because it can be changed into a prime (12029987) 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, 66374 + ... + 66554.

It is an arithmetic number, because the mean of its divisors is an integer number (519792).

Almost surely, 212029984 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 12029984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475008).

12029984 is an abundant number, since it is smaller than the sum of its proper divisors (12920032).

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

12029984 is a wasteful number, since it uses less digits than its factorization.

12029984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 12029984 is about 3468.4267326844. The cubic root of 12029984 is about 229.1333738669.

The spelling of 12029984 in words is "twelve million, twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 67 124 134 181 248 268 362 496 536 724 992 1072 1448 2077 2144 2896 4154 5611 5792 8308 11222 12127 16616 22444 24254 33232 44888 48508 66464 89776 97016 179552 194032 375937 388064 751874 1503748 3007496 6014992 12029984