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860099840 = 2851016653
BaseRepresentation
bin110011010001000…
…001010100000000
32012221102121011122
4303101001110000
53230141143330
6221202531412
730212504465
oct6321012400
92187377148
10860099840
1140155a816
12200066b68
13109266422
148233166c
15507995e5
hex33441500

860099840 has 72 divisors (see below), whose sum is σ = 2080918728. Its totient is φ = 340582400.

The previous prime is 860099813. The next prime is 860099843. The reversal of 860099840 is 48990068.

It can be written as a sum of positive squares in 4 ways, for example, as 75203584 + 784896256 = 8672^2 + 28016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 860099791 and 860099800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860099843) 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, 125954 + ... + 132606.

It is an arithmetic number, because the mean of its divisors is an integer number (28901649).

Almost surely, 2860099840 is an apocalyptic number.

860099840 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 860099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040459364).

860099840 is an abundant number, since it is smaller than the sum of its proper divisors (1220818888).

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

860099840 is a wasteful number, since it uses less digits than its factorization.

860099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 860099840 is about 29327.4588056995. The cubic root of 860099840 is about 951.0053401528.

The spelling of 860099840 in words is "eight hundred sixty million, ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 640 808 1010 1280 1616 2020 3232 4040 6464 6653 8080 12928 13306 16160 25856 26612 32320 33265 53224 64640 66530 106448 129280 133060 212896 266120 425792 532240 671953 851584 1064480 1343906 1703168 2128960 2687812 3359765 4257920 5375624 6719530 8515840 10751248 13439060 21502496 26878120 43004992 53756240 86009984 107512480 172019968 215024960 430049920 860099840