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2730816 = 263211431
BaseRepresentation
bin1010011010101101000000
312010201222100
422122231000
51144341231
6134310400
732132364
oct12325500
95121870
102730816
1115a5780
12ab8400
13747c8a
145112a4
1538e1e6
hex29ab40

2730816 has 84 divisors (see below), whose sum is σ = 8558784. Its totient is φ = 825600.

The previous prime is 2730811. The next prime is 2730817. The reversal of 2730816 is 6180372.

It is a self number, because there is not a number n which added to its sum of digits gives 2730816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6121 + ... + 6551.

22730816 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 2730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279392).

2730816 is an abundant number, since it is smaller than the sum of its proper divisors (5827968).

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

2730816 is a wasteful number, since it uses less digits than its factorization.

2730816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2730816 is about 1652.5180785698. The cubic root of 2730816 is about 139.7754222544.

The spelling of 2730816 in words is "two million, seven hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 431 528 576 704 792 862 1056 1293 1584 1724 2112 2586 3168 3448 3879 4741 5172 6336 6896 7758 9482 10344 13792 14223 15516 18964 20688 27584 28446 31032 37928 41376 42669 56892 62064 75856 82752 85338 113784 124128 151712 170676 227568 248256 303424 341352 455136 682704 910272 1365408 2730816