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12210984 = 2332181937
BaseRepresentation
bin101110100101…
…001100101000
3211222101022200
4232211030220
511111222414
61113420200
7205535352
oct56451450
924871280
1012210984
116990325
12410a660
1326b7046
14189c0d2
151113109
hexba5328

12210984 has 48 divisors (see below), whose sum is σ = 33289620. Its totient is φ = 4043520.

The previous prime is 12210983. The next prime is 12211009. The reversal of 12210984 is 48901221.

It can be written as a sum of positive squares in 2 ways, for example, as 8122500 + 4088484 = 2850^2 + 2022^2 .

It is not an unprimeable number, because it can be changed into a prime (12210983) 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 11 ways as a sum of consecutive naturals, for example, 12564 + ... + 13500.

Almost surely, 212210984 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 12210984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16644810).

12210984 is an abundant number, since it is smaller than the sum of its proper divisors (21078636).

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

12210984 is a wasteful number, since it uses less digits than its factorization.

12210984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12210984 is about 3494.4218405911. The cubic root of 12210984 is about 230.2768185577.

The spelling of 12210984 in words is "twelve million, two hundred ten thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 937 1086 1448 1629 1874 2172 2811 3258 3748 4344 5622 6516 7496 8433 11244 13032 16866 22488 33732 67464 169597 339194 508791 678388 1017582 1356776 1526373 2035164 3052746 4070328 6105492 12210984