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12786580 = 225639329
BaseRepresentation
bin110000110001…
…101110010100
3220001121220001
4300301232110
511233132310
61134021044
7213453442
oct60615624
926047801
1012786580
117243824
124347784
132859031
1419abb92
1511c893a
hexc31b94

12786580 has 12 divisors (see below), whose sum is σ = 26851860. Its totient is φ = 5114624.

The previous prime is 12786559. The next prime is 12786581. The reversal of 12786580 is 8568721.

It can be written as a sum of positive squares in 2 ways, for example, as 8042896 + 4743684 = 2836^2 + 2178^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12786581) 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 3 ways as a sum of consecutive naturals, for example, 319645 + ... + 319684.

It is an arithmetic number, because the mean of its divisors is an integer number (2237655).

Almost surely, 212786580 is an apocalyptic number.

12786580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12786580 is an abundant number, since it is smaller than the sum of its proper divisors (14065280).

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

12786580 is a wasteful number, since it uses less digits than its factorization.

12786580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639338 (or 639336 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 12786580 is about 3575.8327701390. The cubic root of 12786580 is about 233.8396398076.

It can be divided in two parts, 12786 and 580, that added together give a triangular number (13366 = T163).

The spelling of 12786580 in words is "twelve million, seven hundred eighty-six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 639329 1278658 2557316 3196645 6393290 12786580