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2820004720 = 2451313032081
BaseRepresentation
bin1010100000010101…
…1101101101110000
321021112100002020021
42220011131231300
521233410122340
61143454253224
7126611434051
oct25005355560
97245302207
102820004720
111217901315
126684b7214
1335c312860
141ca750728
1511788be4a
hexa815db70

2820004720 has 80 divisors (see below), whose sum is σ = 7069672512. Its totient is φ = 1039933440.

The previous prime is 2820004711. The next prime is 2820004721. The reversal of 2820004720 is 274000282.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820004721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354080 + ... + 1356160.

Almost surely, 22820004720 is an apocalyptic number.

2820004720 is a gapful number since it is divisible by the number (20) 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 2820004720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534836256).

2820004720 is an abundant number, since it is smaller than the sum of its proper divisors (4249667792).

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

2820004720 is a wasteful number, since it uses less digits than its factorization.

2820004720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2820004720 is about 53103.7166307595. The cubic root of 2820004720 is about 1412.8084326068.

The spelling of 2820004720 in words is "two billion, eight hundred twenty million, four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1303 2081 2606 4162 5212 6515 8324 10405 10424 13030 16648 16939 20810 20848 26060 27053 33296 33878 41620 52120 54106 67756 83240 84695 104240 108212 135265 135512 166480 169390 216424 270530 271024 338780 432848 541060 677560 1082120 1355120 2164240 2711543 5423086 10846172 13557715 21692344 27115430 35250059 43384688 54230860 70500118 108461720 141000236 176250295 216923440 282000472 352500590 564000944 705001180 1410002360 2820004720