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868280080 = 245431731459
BaseRepresentation
bin110011110000001…
…110011100010000
32020111211012100111
4303300032130100
53234234430310
6222054131104
730342154543
oct6360163420
92214735314
10868280080
11406137748
12202950a94
1310ab6b8c5
148346085a
155136328a
hex33c0e710

868280080 has 80 divisors (see below), whose sum is σ = 2079063360. Its totient is φ = 337042944.

The previous prime is 868280071. The next prime is 868280093. The reversal of 868280080 is 80082868.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594391 + ... + 595849.

It is an arithmetic number, because the mean of its divisors is an integer number (25988292).

Almost surely, 2868280080 is an apocalyptic number.

868280080 is a gapful number since it is divisible by the number (80) 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 868280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039531680).

868280080 is an abundant number, since it is smaller than the sum of its proper divisors (1210783280).

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

868280080 is a wasteful number, since it uses less digits than its factorization.

868280080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 868280080 is about 29466.5926092584. The cubic root of 868280080 is about 954.0107735966.

The spelling of 868280080 in words is "eight hundred sixty-eight million, two hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 173 215 344 346 430 688 692 860 865 1384 1459 1720 1730 2768 2918 3440 3460 5836 6920 7295 7439 11672 13840 14590 14878 23344 29180 29756 37195 58360 59512 62737 74390 116720 119024 125474 148780 250948 252407 297560 313685 501896 504814 595120 627370 1003792 1009628 1254740 1262035 2019256 2509480 2524070 4038512 5018960 5048140 10096280 10853501 20192560 21707002 43414004 54267505 86828008 108535010 173656016 217070020 434140040 868280080