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2068589820 = 2235114372889
BaseRepresentation
bin111101101001100…
…0010110011111100
312100011102020202210
41323103002303330
513214024333240
6541133020420
7102155503053
oct17323026374
95304366683
102068589820
11971735170
12498924710
1326c74105b
14158a3139a
15c1910780
hex7b4c2cfc

2068589820 has 96 divisors (see below), whose sum is σ = 6465634560. Its totient is φ = 489807360.

The previous prime is 2068589819. The next prime is 2068589833. The reversal of 2068589820 is 289858602.

It is a self number, because there is not a number n which added to its sum of digits gives 2068589820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8065 + ... + 64824.

It is an arithmetic number, because the mean of its divisors is an integer number (67350360).

Almost surely, 22068589820 is an apocalyptic number.

2068589820 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 2068589820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232817280).

2068589820 is an abundant number, since it is smaller than the sum of its proper divisors (4397044740).

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

2068589820 is a wasteful number, since it uses less digits than its factorization.

2068589820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72955 (or 72953 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 2068589820 is about 45481.7526047535. The cubic root of 2068589820 is about 1274.1624272187.

The spelling of 2068589820 in words is "two billion, sixty-eight million, five hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4730 5676 7095 9460 14190 28380 72889 145778 218667 291556 364445 437334 728890 801779 874668 1093335 1457780 1603558 2186670 2405337 3134227 3207116 4008895 4373340 4810674 6268454 8017790 9402681 9621348 12026685 12536908 15671135 16035580 18805362 24053370 31342270 34476497 37610724 47013405 48106740 62684540 68952994 94026810 103429491 137905988 172382485 188053620 206858982 344764970 413717964 517147455 689529940 1034294910 2068589820