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20339820 = 2232517323
BaseRepresentation
bin100110110010…
…1110001101100
31102021100222200
41031211301230
520201333240
62003541500
7334612524
oct115456154
942240880
1020339820
1110532676
12698a890
1342a1cc7
1429b6684
151bbb930
hex1365c6c

20339820 has 144 divisors (see below), whose sum is σ = 68402880. Its totient is φ = 4882944.

The previous prime is 20339819. The next prime is 20339831. The reversal of 20339820 is 2893302.

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 47 ways as a sum of consecutive naturals, for example, 884329 + ... + 884351.

It is an arithmetic number, because the mean of its divisors is an integer number (475020).

Almost surely, 220339820 is an apocalyptic number.

20339820 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 20339820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34201440).

20339820 is an abundant number, since it is smaller than the sum of its proper divisors (48063060).

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

20339820 is a wasteful number, since it uses less digits than its factorization.

20339820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20339820 is about 4509.9689577646. The cubic root of 20339820 is about 272.9704915173.

The spelling of 20339820 in words is "twenty million, three hundred thirty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 289 306 340 345 391 414 460 510 578 612 690 765 782 828 867 1020 1035 1156 1173 1380 1445 1530 1564 1734 1955 2070 2346 2601 2890 3060 3468 3519 3910 4140 4335 4692 4913 5202 5780 5865 6647 7038 7820 8670 9826 10404 11730 13005 13294 14076 14739 17340 17595 19652 19941 23460 24565 26010 26588 29478 33235 35190 39882 44217 49130 52020 58956 59823 66470 70380 73695 79764 88434 98260 99705 112999 119646 132940 147390 176868 199410 221085 225998 239292 294780 299115 338997 398820 442170 451996 564995 598230 677994 884340 1016991 1129990 1196460 1355988 1694985 2033982 2259980 3389970 4067964 5084955 6779940 10169910 20339820