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12790000 = 24541279
BaseRepresentation
bin110000110010…
…100011110000
3220001210120201
4300302203300
511233240000
61134044544
7213466426
oct60624360
926053521
1012790000
117246353
124349754
13285a762
1419ad116
1511c996a
hexc328f0

12790000 has 50 divisors (see below), whose sum is σ = 30990080. Its totient is φ = 5112000.

The previous prime is 12789979. The next prime is 12790007. The reversal of 12790000 is 9721.

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 12790000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12790007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9361 + ... + 10639.

Almost surely, 212790000 is an apocalyptic number.

12790000 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 12790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15495040).

12790000 is an abundant number, since it is smaller than the sum of its proper divisors (18200080).

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

12790000 is an equidigital number, since it uses as much as digits as its factorization.

12790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 12790000 is about 3576.3109484495. The cubic root of 12790000 is about 233.8604861501.

Adding to 12790000 its reverse (9721), we get a palindrome (12799721).

The spelling of 12790000 in words is "twelve million, seven hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1279 2000 2500 2558 5000 5116 6395 10000 10232 12790 20464 25580 31975 51160 63950 102320 127900 159875 255800 319750 511600 639500 799375 1279000 1598750 2558000 3197500 6395000 12790000