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830610560 = 2751399833
BaseRepresentation
bin110001100000100…
…001110010000000
32010212221101111002
4301200201302000
53200114014220
6214230511132
726404034063
oct6140416200
92125841432
10830610560
1139694900a
121b22054a8
1310310ca50
147c4568da
154cdc1c75
hex31821c80

830610560 has 64 divisors (see below), whose sum is σ = 2138444280. Its totient is φ = 306683904.

The previous prime is 830610527. The next prime is 830610563. The reversal of 830610560 is 65016038.

It can be written as a sum of positive squares in 4 ways, for example, as 429649984 + 400960576 = 20728^2 + 20024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (830610563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41597 + ... + 58236.

Almost surely, 2830610560 is an apocalyptic number.

830610560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830610560 is an abundant number, since it is smaller than the sum of its proper divisors (1307833720).

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

830610560 is a wasteful number, since it uses less digits than its factorization.

830610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99865 (or 99853 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 830610560 is about 28820.3150572647. The cubic root of 830610560 is about 940.0100195099.

Adding to 830610560 its reverse (65016038), we get a palindrome (895626598).

The spelling of 830610560 in words is "eight hundred thirty million, six hundred ten thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 99833 199666 399332 499165 798664 998330 1297829 1597328 1996660 2595658 3194656 3993320 5191316 6389312 6489145 7986640 10382632 12778624 12978290 15973280 20765264 25956580 31946560 41530528 51913160 63893120 83061056 103826320 166122112 207652640 415305280 830610560