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12084282 = 233724567
BaseRepresentation
bin101110000110…
…010000111010
3211201221112000
4232012100322
511043144112
61111001430
7204500100
oct56062072
924657460
1012084282
116904111
124069276
132671482
141867c70
1510da7dc
hexb8643a

12084282 has 48 divisors (see below), whose sum is σ = 31245120. Its totient is φ = 3451896.

The previous prime is 12084277. The next prime is 12084301. The reversal of 12084282 is 28248021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 363 + ... + 4929.

It is an arithmetic number, because the mean of its divisors is an integer number (650940).

Almost surely, 212084282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15622560).

12084282 is an abundant number, since it is smaller than the sum of its proper divisors (19160838).

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

12084282 is a wasteful number, since it uses less digits than its factorization.

12084282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12084282 is about 3476.2453883465. The cubic root of 12084282 is about 229.4775918999.

The spelling of 12084282 in words is "twelve million, eighty-four thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 4567 9134 13701 27402 31969 41103 63938 82206 95907 123309 191814 223783 246618 287721 447566 575442 671349 863163 1342698 1726326 2014047 4028094 6042141 12084282