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6540912 = 243472103
BaseRepresentation
bin11000111100111001110000
3110022022110000
4120330321300
53133302122
6352110000
7106411500
oct30747160
913268400
106540912
113768314
122235300
131480281
14c23a00
158930ac
hex63ce70

6540912 has 150 divisors (see below), whose sum is σ = 22235928. Its totient is φ = 1850688.

The previous prime is 6540899. The next prime is 6540913. The reversal of 6540912 is 2190456.

6540912 is a `hidden beast` number, since 654 + 0 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540913) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63453 + ... + 63555.

Almost surely, 26540912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117964).

6540912 is an abundant number, since it is smaller than the sum of its proper divisors (15695016).

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

6540912 is a wasteful number, since it uses less digits than its factorization.

6540912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6540912 is about 2557.5206744032. The cubic root of 6540912 is about 187.0162892003.

The spelling of 6540912 in words is "six million, five hundred forty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 103 108 112 126 144 147 162 168 189 196 206 216 252 294 309 324 336 378 392 412 432 441 504 567 588 618 648 721 756 784 824 882 927 1008 1134 1176 1236 1296 1323 1442 1512 1648 1764 1854 2163 2268 2352 2472 2646 2781 2884 3024 3528 3708 3969 4326 4536 4944 5047 5292 5562 5768 6489 7056 7416 7938 8343 8652 9072 10094 10584 11124 11536 12978 14832 15141 15876 16686 17304 19467 20188 21168 22248 25956 30282 31752 33372 34608 38934 40376 44496 45423 51912 58401 60564 63504 66744 77868 80752 90846 103824 116802 121128 133488 136269 155736 181692 233604 242256 272538 311472 363384 408807 467208 545076 726768 817614 934416 1090152 1635228 2180304 3270456 6540912