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2000891376 = 2433112631601
BaseRepresentation
bin111011101000011…
…0010110111110000
312011110000210222000
41313100302313300
513044212011001
6530314014000
7100404203361
oct16720626760
95143023860
102000891376
119374a6340
1247a117300
1325b6c9cc3
1414da4bb68
15ba9dba86
hex77432df0

2000891376 has 160 divisors (see below), whose sum is σ = 6293168640. Its totient is φ = 603648000.

The previous prime is 2000891369. The next prime is 2000891377. The reversal of 2000891376 is 6731980002.

2000891376 is a `hidden beast` number, since 200 + 0 + 89 + 1 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2000891376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000891377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248976 + ... + 1250576.

It is an arithmetic number, because the mean of its divisors is an integer number (39332304).

Almost surely, 22000891376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000891376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146584320).

2000891376 is an abundant number, since it is smaller than the sum of its proper divisors (4292277264).

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

2000891376 is a wasteful number, since it uses less digits than its factorization.

2000891376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2000891376 is about 44731.3243264717. The cubic root of 2000891376 is about 1260.1081993252.

The spelling of 2000891376 in words is "two billion, eight hundred ninety-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 263 264 297 396 432 526 528 594 789 792 1052 1188 1578 1584 1601 2104 2367 2376 2893 3156 3202 4208 4734 4752 4803 5786 6312 6404 7101 8679 9468 9606 11572 12624 12808 14202 14409 17358 17611 18936 19212 23144 25616 26037 28404 28818 34716 35222 37872 38424 43227 46288 52074 52833 56808 57636 69432 70444 76848 78111 86454 104148 105666 113616 115272 138864 140888 156222 158499 172908 208296 211332 230544 281776 312444 316998 345816 416592 421063 422664 475497 624888 633996 691632 842126 845328 950994 1249776 1263189 1267992 1684252 1901988 2526378 2535984 3368504 3789567 3803976 4631693 5052756 6737008 7579134 7607952 9263386 10105512 11368701 13895079 15158268 18526772 20211024 22737402 27790158 30316536 37053544 41685237 45474804 55580316 60633072 74107088 83370474 90949608 111160632 125055711 166740948 181899216 222321264 250111422 333481896 500222844 666963792 1000445688 2000891376