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12820496 = 241361637
BaseRepresentation
bin110000111010…
…000000010000
3220010100102012
4300322000100
511240223441
61134442052
7213654353
oct60720020
926110365
1012820496
117267257
124363328
13286b5c0
1419ba29a
1511d39eb
hexc3a010

12820496 has 20 divisors (see below), whose sum is σ = 26750892. Its totient is φ = 5917056.

The previous prime is 12820487. The next prime is 12820529. The reversal of 12820496 is 69402821.

It can be written as a sum of positive squares in 2 ways, for example, as 2062096 + 10758400 = 1436^2 + 3280^2 .

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 3 ways as a sum of consecutive naturals, for example, 30611 + ... + 31026.

Almost surely, 212820496 is an apocalyptic number.

12820496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12820496 is an abundant number, since it is smaller than the sum of its proper divisors (13930396).

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

12820496 is a wasteful number, since it uses less digits than its factorization.

12820496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61658 (or 61652 counting only the distinct ones).

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

The square root of 12820496 is about 3580.5720213396. The cubic root of 12820496 is about 234.0462080320.

The spelling of 12820496 in words is "twelve million, eight hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 61637 123274 246548 493096 801281 986192 1602562 3205124 6410248 12820496