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12825720 = 23325231549
BaseRepresentation
bin110000111011…
…010001111000
3220010121120200
4300323101320
511240410340
61134522200
7214005525
oct60732170
926117520
1012825720
117270176
124366360
132870aab
1419bc14c
1511d5330
hexc3b478

12825720 has 96 divisors (see below), whose sum is σ = 43524000. Its totient is φ = 3269376.

The previous prime is 12825713. The next prime is 12825733. The reversal of 12825720 is 2752821.

12825720 is a `hidden beast` number, since 12 + 82 + 572 + 0 = 666.

12825720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7506 + ... + 9054.

It is an arithmetic number, because the mean of its divisors is an integer number (453375).

Almost surely, 212825720 is an apocalyptic number.

12825720 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 12825720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762000).

12825720 is an abundant number, since it is smaller than the sum of its proper divisors (30698280).

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

12825720 is a wasteful number, since it uses less digits than its factorization.

12825720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12825720 is about 3581.3014394211. The cubic root of 12825720 is about 234.0779928491.

The spelling of 12825720 in words is "twelve million, eight hundred twenty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1549 1656 2070 2760 3098 4140 4647 6196 7745 8280 9294 12392 13941 15490 18588 23235 27882 30980 35627 37176 46470 55764 61960 69705 71254 92940 106881 111528 139410 142508 178135 185880 213762 278820 285016 320643 356270 427524 534405 557640 641286 712540 855048 1068810 1282572 1425080 1603215 2137620 2565144 3206430 4275240 6412860 12825720