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12884980 = 2251737897
BaseRepresentation
bin110001001001…
…101111110100
3220020121212111
4301021233310
511244304410
61140100404
7214343353
oct61115764
926217774
1012884980
117300749
124394704
132891a64
1419d599a
1511e7b8a
hexc49bf4

12884980 has 24 divisors (see below), whose sum is σ = 28650888. Its totient is φ = 4850688.

The previous prime is 12884959. The next prime is 12885001. The reversal of 12884980 is 8948821.

It is an interprime number because it is at equal distance from previous prime (12884959) and next prime (12885001).

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 12687844 = 444^2 + 3562^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18609 + ... + 19288.

It is an arithmetic number, because the mean of its divisors is an integer number (1193787).

Almost surely, 212884980 is an apocalyptic number.

12884980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12884980 is an abundant number, since it is smaller than the sum of its proper divisors (15765908).

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

12884980 is a wasteful number, since it uses less digits than its factorization.

12884980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37923 (or 37921 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 12884980 is about 3589.5654333080. The cubic root of 12884980 is about 234.4379506166.

The spelling of 12884980 in words is "twelve million, eight hundred eighty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 37897 75794 151588 189485 378970 644249 757940 1288498 2576996 3221245 6442490 12884980