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12840300 = 223252111297
BaseRepresentation
bin110000111110…
…110101101100
3220011100120200
4300332311230
511241342200
61135113500
7214066164
oct60766554
926140520
1012840300
117280120
124372890
132877615
1419c35a4
1511d9800
hexc3ed6c

12840300 has 108 divisors (see below), whose sum is σ = 43939896. Its totient is φ = 3110400.

The previous prime is 12840299. The next prime is 12840307. The reversal of 12840300 is 304821.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12840307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9252 + ... + 10548.

Almost surely, 212840300 is an apocalyptic number.

12840300 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 12840300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21969948).

12840300 is an abundant number, since it is smaller than the sum of its proper divisors (31099596).

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

12840300 is a wasteful number, since it uses less digits than its factorization.

12840300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12840300 is about 3583.3364341072. The cubic root of 12840300 is about 234.1666575201.

The spelling of 12840300 in words is "twelve million, eight hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1297 1650 1980 2475 2594 3300 3891 4950 5188 6485 7782 9900 11673 12970 14267 15564 19455 23346 25940 28534 32425 38910 42801 46692 57068 58365 64850 71335 77820 85602 97275 116730 128403 129700 142670 171204 194550 214005 233460 256806 285340 291825 356675 389100 428010 513612 583650 642015 713350 856020 1070025 1167300 1284030 1426700 2140050 2568060 3210075 4280100 6420150 12840300