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12800500 = 225325601
BaseRepresentation
bin110000110101…
…000111110100
3220002022222121
4300311013310
511234104000
61134205324
7213542146
oct60650764
926068877
1012800500
117253229
124353844
13286247b
1419b2c96
1511ccb1a
hexc351f4

12800500 has 24 divisors (see below), whose sum is σ = 27957384. Its totient is φ = 5120000.

The previous prime is 12800467. The next prime is 12800503. The reversal of 12800500 is 500821.

It is a happy number.

12800500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 12418576 = 618^2 + 3524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12301 + ... + 13300.

It is an arithmetic number, because the mean of its divisors is an integer number (1164891).

Almost surely, 212800500 is an apocalyptic number.

12800500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12800500 is an abundant number, since it is smaller than the sum of its proper divisors (15156884).

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

12800500 is a wasteful number, since it uses less digits than its factorization.

12800500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25620 (or 25608 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 12800500 is about 3577.7786404416. The cubic root of 12800500 is about 233.9244648692.

The spelling of 12800500 in words is "twelve million, eight hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 25601 51202 102404 128005 256010 512020 640025 1280050 2560100 3200125 6400250 12800500