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12662816 = 251959353
BaseRepresentation
bin110000010011…
…100000100000
3212211100010012
4300103200200
511220202231
61131224052
7212426555
oct60234040
925740105
1012662816
117169841
1242a8028
1328148ba
141978a2c
1511a1e2b
hexc13820

12662816 has 48 divisors (see below), whose sum is σ = 26762400. Its totient is φ = 5879808.

The previous prime is 12662803. The next prime is 12662827. The reversal of 12662816 is 61826621.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35696 + ... + 36048.

It is an arithmetic number, because the mean of its divisors is an integer number (557550).

Almost surely, 212662816 is an apocalyptic number.

12662816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12662816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13381200).

12662816 is an abundant number, since it is smaller than the sum of its proper divisors (14099584).

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

12662816 is a wasteful number, since it uses less digits than its factorization.

12662816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 12662816 is about 3558.4850709255. The cubic root of 12662816 is about 233.0827314013.

The spelling of 12662816 in words is "twelve million, six hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 353 472 608 706 944 1121 1412 1888 2242 2824 4484 5648 6707 8968 11296 13414 17936 20827 26828 35872 41654 53656 83308 107312 166616 214624 333232 395713 666464 791426 1582852 3165704 6331408 12662816