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12800412 = 2232438269
BaseRepresentation
bin110000110101…
…000110011100
3220002022212100
4300311012130
511234103122
61134205100
7213541662
oct60650634
926068770
1012800412
117253159
124353790
132862411
1419b2c32
1511ccaac
hexc3519c

12800412 has 36 divisors (see below), whose sum is σ = 33113080. Its totient is φ = 4167072.

The previous prime is 12800407. The next prime is 12800419. The reversal of 12800412 is 21400821.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800419) 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 11 ways as a sum of consecutive naturals, for example, 2587 + ... + 5682.

Almost surely, 212800412 is an apocalyptic number.

12800412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12800412 is an abundant number, since it is smaller than the sum of its proper divisors (20312668).

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

12800412 is a wasteful number, since it uses less digits than its factorization.

12800412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8322 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12800412 is about 3577.7663422868. The cubic root of 12800412 is about 233.9239288120.

The spelling of 12800412 in words is "twelve million, eight hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 8269 16538 24807 33076 49614 74421 99228 148842 297684 355567 711134 1066701 1422268 2133402 3200103 4266804 6400206 12800412