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12804780 = 22351012113
BaseRepresentation
bin110000110110…
…001010101100
3220002112212010
4300312022230
511234223110
61134241220
7213560502
oct60661254
926075763
1012804780
11725646a
124356210
1328643c1
1419b4672
1511ce020
hexc362ac

12804780 has 48 divisors (see below), whose sum is σ = 36225504. Its totient is φ = 3379200.

The previous prime is 12804773. The next prime is 12804787. The reversal of 12804780 is 8740821.

It is an interprime number because it is at equal distance from previous prime (12804773) and next prime (12804787).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12804787) 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 15 ways as a sum of consecutive naturals, for example, 5004 + ... + 7116.

It is an arithmetic number, because the mean of its divisors is an integer number (754698).

Almost surely, 212804780 is an apocalyptic number.

12804780 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 12804780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18112752).

12804780 is an abundant number, since it is smaller than the sum of its proper divisors (23420724).

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

12804780 is a wasteful number, since it uses less digits than its factorization.

12804780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12804780 is about 3578.3767269532. The cubic root of 12804780 is about 233.9505337765.

The spelling of 12804780 in words is "twelve million, eight hundred four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 2113 3030 4226 6060 6339 8452 10565 12678 21130 25356 31695 42260 63390 126780 213413 426826 640239 853652 1067065 1280478 2134130 2560956 3201195 4268260 6402390 12804780