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12788620 = 22513101487
BaseRepresentation
bin110000110010…
…001110001100
3220001201200121
4300302032030
511233213440
61134034324
7213462415
oct60621614
926051617
1012788620
117245309
1243489a4
132859c40
1419ac80c
1511c934a
hexc3238c

12788620 has 48 divisors (see below), whose sum is σ = 29268288. Its totient is φ = 4665600.

The previous prime is 12788617. The next prime is 12788639. The reversal of 12788620 is 2688721.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26017 + ... + 26503.

It is an arithmetic number, because the mean of its divisors is an integer number (609756).

Almost surely, 212788620 is an apocalyptic number.

12788620 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 12788620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634144).

12788620 is an abundant number, since it is smaller than the sum of its proper divisors (16479668).

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

12788620 is a wasteful number, since it uses less digits than its factorization.

12788620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 12788620 is about 3576.1180070014. The cubic root of 12788620 is about 233.8520749153.

The spelling of 12788620 in words is "twelve million, seven hundred eighty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 487 505 974 1010 1313 1948 2020 2435 2626 4870 5252 6331 6565 9740 12662 13130 25324 26260 31655 49187 63310 98374 126620 196748 245935 491870 639431 983740 1278862 2557724 3197155 6394310 12788620