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12828780 = 223457919
BaseRepresentation
bin110000111100…
…000001101100
3220010202210000
4300330001230
511241010110
61134544300
7214020456
oct60740154
926122700
1012828780
1172724a8
124368090
1328722c3
1419bd2d6
1511d61c0
hexc3c06c

12828780 has 60 divisors (see below), whose sum is σ = 40249440. Its totient is φ = 3420576.

The previous prime is 12828769. The next prime is 12828787. The reversal of 12828780 is 8782821.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×128287803 (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12828787) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2340 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (670824).

Almost surely, 212828780 is an apocalyptic number.

12828780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12828780 is an abundant number, since it is smaller than the sum of its proper divisors (27420660).

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

12828780 is a wasteful number, since it uses less digits than its factorization.

12828780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 12828780 is about 3581.7286329369. The cubic root of 12828780 is about 234.0966070530.

The spelling of 12828780 in words is "twelve million, eight hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7919 15838 23757 31676 39595 47514 71271 79190 95028 118785 142542 158380 213813 237570 285084 356355 427626 475140 641439 712710 855252 1069065 1282878 1425420 2138130 2565756 3207195 4276260 6414390 12828780