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830728560 = 24353461369
BaseRepresentation
bin110001100000111…
…110100101110000
32010220011101100110
4301200332211300
53200131303220
6214233221320
726405035104
oct6140764560
92126141313
10830728560
11396a19732
121b2261840
1310315167c
147c487904
154cde6be0
hex3183e970

830728560 has 40 divisors (see below), whose sum is σ = 2575259280. Its totient is φ = 221527552.

The previous prime is 830728553. The next prime is 830728573. The reversal of 830728560 is 65827038.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1730445 + ... + 1730924.

It is an arithmetic number, because the mean of its divisors is an integer number (64381482).

Almost surely, 2830728560 is an apocalyptic number.

830728560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830728560 is an abundant number, since it is smaller than the sum of its proper divisors (1744530720).

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

830728560 is a wasteful number, since it uses less digits than its factorization.

830728560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461385 (or 3461379 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 830728560 is about 28822.3621516350. The cubic root of 830728560 is about 940.0545313166.

The spelling of 830728560 in words is "eight hundred thirty million, seven hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3461369 6922738 10384107 13845476 17306845 20768214 27690952 34613690 41536428 51920535 55381904 69227380 83072856 103841070 138454760 166145712 207682140 276909520 415364280 830728560