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320002020 = 2232513136753
BaseRepresentation
bin10011000100101…
…101011111100100
3211022010210020200
4103010231133210
51123410031040
651430430500
710633654332
oct2304553744
9738123220
10320002020
111546a6288
128b202430
13513b2110
14306dcb52
151d160630
hex1312d7e4

320002020 has 72 divisors (see below), whose sum is σ = 1045347576. Its totient is φ = 78769152.

The previous prime is 320001977. The next prime is 320002021. The reversal of 320002020 is 20200023.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 317338596 = 1632^2 + 17814^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 320001993 and 320002011.

It is not an unprimeable number, because it can be changed into a prime (320002021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66037 + ... + 70716.

Almost surely, 2320002020 is an apocalyptic number.

320002020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320002020 is an abundant number, since it is smaller than the sum of its proper divisors (725345556).

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

320002020 is a wasteful number, since it uses less digits than its factorization.

320002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136781 (or 136776 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 320002020 is about 17888.6002806256. The cubic root of 320002020 is about 683.9918178974.

Adding to 320002020 its reverse (20200023), we get a palindrome (340202043).

The spelling of 320002020 in words is "three hundred twenty million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 136753 273506 410259 547012 683765 820518 1230777 1367530 1641036 1777789 2051295 2461554 2735060 3555578 4102590 4923108 5333367 6153885 7111156 8205180 8888945 10666734 12307770 16000101 17777890 21333468 24615540 26666835 32000202 35555780 53333670 64000404 80000505 106667340 160001010 320002020