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2180304 = 243372103
BaseRepresentation
bin1000010100010011010000
311002202211000
420110103100
51024232204
6114422000
724350400
oct10242320
94082730
102180304
11125a105
12891900
135b4529
1440a800
152d1039
hex2144d0

2180304 has 120 divisors (see below), whose sum is σ = 7350720. Its totient is φ = 616896.

The previous prime is 2180303. The next prime is 2180329. The reversal of 2180304 is 4030812.

It is a happy number.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21117 + ... + 21219.

It is an arithmetic number, because the mean of its divisors is an integer number (61256).

22180304 is an apocalyptic number.

2180304 is a gapful number since it is divisible by the number (24) 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 2180304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675360).

2180304 is an abundant number, since it is smaller than the sum of its proper divisors (5170416).

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

2180304 is a wasteful number, since it uses less digits than its factorization.

2180304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

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

The square root of 2180304 is about 1476.5852498247. The cubic root of 2180304 is about 129.6698526043.

The spelling of 2180304 in words is "two million, one hundred eighty thousand, three hundred four".

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 84 98 103 108 112 126 144 147 168 189 196 206 216 252 294 309 336 378 392 412 432 441 504 588 618 721 756 784 824 882 927 1008 1176 1236 1323 1442 1512 1648 1764 1854 2163 2352 2472 2646 2781 2884 3024 3528 3708 4326 4944 5047 5292 5562 5768 6489 7056 7416 8652 10094 10584 11124 11536 12978 14832 15141 17304 19467 20188 21168 22248 25956 30282 34608 38934 40376 44496 45423 51912 60564 77868 80752 90846 103824 121128 136269 155736 181692 242256 272538 311472 363384 545076 726768 1090152 2180304