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2730728 = 2371121331
BaseRepresentation
bin1010011010101011101000
312010201212002
422122223220
51144340403
6134310132
732132210
oct12325350
95121762
102730728
1115a5700
12ab8348
13747c20
14511240
1538e188
hex29aae8

2730728 has 96 divisors (see below), whose sum is σ = 7150080. Its totient is φ = 950400.

The previous prime is 2730713. The next prime is 2730743. The reversal of 2730728 is 8270372.

2730728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2730713) and next prime (2730743).

It is a self number, because there is not a number n which added to its sum of digits gives 2730728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88073 + ... + 88103.

It is an arithmetic number, because the mean of its divisors is an integer number (74480).

22730728 is an apocalyptic number.

2730728 is a gapful number since it is divisible by the number (28) 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 2730728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575040).

2730728 is an abundant number, since it is smaller than the sum of its proper divisors (4419352).

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

2730728 is a wasteful number, since it uses less digits than its factorization.

2730728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 2730728 is about 1652.4914523228. The cubic root of 2730728 is about 139.7739208266.

The spelling of 2730728 in words is "two million, seven hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 77 88 91 104 121 124 143 154 182 217 242 248 286 308 341 364 403 434 484 572 616 682 728 806 847 868 968 1001 1144 1364 1573 1612 1694 1736 2002 2387 2728 2821 3146 3224 3388 3751 4004 4433 4774 5642 6292 6776 7502 8008 8866 9548 11011 11284 12584 15004 17732 19096 22022 22568 26257 30008 31031 35464 44044 48763 52514 62062 88088 97526 105028 124124 195052 210056 248248 341341 390104 682682 1365364 2730728