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12808580 = 2253173283
BaseRepresentation
bin110000110111…
…000110000100
3220002202001212
4300313012010
511234333310
61134310552
7213604541
oct60670604
926082055
1012808580
117259304
124358458
132866055
1419b5bc8
1511d0205
hexc37184

12808580 has 48 divisors (see below), whose sum is σ = 28245504. Its totient is φ = 4872960.

The previous prime is 12808529. The next prime is 12808583. The reversal of 12808580 is 8580821.

It is not an unprimeable number, because it can be changed into a prime (12808583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45119 + ... + 45401.

It is an arithmetic number, because the mean of its divisors is an integer number (588448).

Almost surely, 212808580 is an apocalyptic number.

12808580 is a gapful number since it is divisible by the number (10) 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 12808580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14122752).

12808580 is an abundant number, since it is smaller than the sum of its proper divisors (15436924).

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

12808580 is a wasteful number, since it uses less digits than its factorization.

12808580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 12808580 is about 3578.9076545784. The cubic root of 12808580 is about 233.9736742001.

The spelling of 12808580 in words is "twelve million, eight hundred eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 283 292 310 365 566 620 730 1132 1415 1460 2263 2830 4526 5660 8773 9052 11315 17546 20659 22630 35092 41318 43865 45260 82636 87730 103295 175460 206590 413180 640429 1280858 2561716 3202145 6404290 12808580