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2008989620 = 22511217471039
BaseRepresentation
bin111011110111110…
…1011111110110100
312012000021020122222
41313233223332310
513103300131440
6531203341512
7100533062411
oct16757537664
95160236588
102008989620
11941027700
12480981898
132602a4071
14150b59108
15bb58b2b5
hex77bebfb4

2008989620 has 144 divisors (see below), whose sum is σ = 5019356160. Its totient is φ = 672291840.

The previous prime is 2008989611. The next prime is 2008989623. The reversal of 2008989620 is 269898002.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008989623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1933061 + ... + 1934099.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 22008989620 is an apocalyptic number.

2008989620 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 2008989620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509678080).

2008989620 is an abundant number, since it is smaller than the sum of its proper divisors (3010366540).

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

2008989620 is a wasteful number, since it uses less digits than its factorization.

2008989620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 2008989620 is about 44821.7538701912. The cubic root of 2008989620 is about 1261.8059305606.

The spelling of 2008989620 in words is "two billion, eight million, nine hundred eighty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 47 55 68 85 94 110 121 170 187 188 220 235 242 340 374 470 484 517 605 748 799 935 940 1034 1039 1210 1598 1870 2057 2068 2078 2420 2585 3196 3740 3995 4114 4156 5170 5195 5687 7990 8228 8789 10285 10340 10390 11374 11429 15980 17578 17663 20570 20780 22748 22858 28435 35156 35326 41140 43945 45716 48833 56870 57145 70652 87890 88315 96679 97666 113740 114290 125719 175780 176630 193358 194293 195332 228580 244165 251438 353260 386716 388586 483395 488330 502876 537163 628595 777172 830161 966790 971465 976660 1074326 1257190 1660322 1933580 1942930 2137223 2148652 2514380 2685815 3320644 3885860 4150805 4274446 5371630 5908793 8301610 8548892 9131771 10686115 10743260 11817586 16603220 18263542 21372230 23635172 29543965 36527084 42744460 45658855 59087930 91317710 100449481 118175860 182635420 200898962 401797924 502247405 1004494810 2008989620