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2820357000 = 233253313373
BaseRepresentation
bin1010100000011011…
…0011101110001000
321021112222222110200
42220012303232020
521234002411000
61143510012200
7126614432106
oct25006635610
97245888420
102820357000
111218021a5a
12668647060
1335c406cc6
141ca802c76
1511790b500
hexa81b3b88

2820357000 has 96 divisors (see below), whose sum is σ = 9532837080. Its totient is φ = 752092800.

The previous prime is 2820356993. The next prime is 2820357019. The reversal of 2820357000 is 7530282.

It can be written as a sum of positive squares in 4 ways, for example, as 189282564 + 2631074436 = 13758^2 + 51294^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147687 + ... + 165686.

Almost surely, 22820357000 is an apocalyptic number.

2820357000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820357000 is an abundant number, since it is smaller than the sum of its proper divisors (6712480080).

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

2820357000 is a wasteful number, since it uses less digits than its factorization.

2820357000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313400 (or 313383 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2820357000 is about 53107.0334324937. The cubic root of 2820357000 is about 1412.8672603371.

Adding to 2820357000 its reverse (7530282), we get a palindrome (2827887282).

The spelling of 2820357000 in words is "two billion, eight hundred twenty million, three hundred fifty-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 313373 626746 940119 1253492 1566865 1880238 2506984 2820357 3133730 3760476 4700595 5640714 6267460 7520952 7834325 9401190 11281428 12534920 14101785 15668650 18802380 22562856 23502975 28203570 31337300 37604760 39171625 47005950 56407140 62674600 70508925 78343250 94011900 112814280 117514875 141017850 156686500 188023800 235029750 282035700 313373000 352544625 470059500 564071400 705089250 940119000 1410178500 2820357000