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668281000 = 23535631187
BaseRepresentation
bin100111110101010…
…010100010101000
31201120111012012011
4213311102202220
52332034443000
6150151325304
722363203052
oct4765224250
91646435164
10668281000
11313255452
12167980834
13a85b4b5a
1464a7c8d2
153da092ba
hex27d528a8

668281000 has 64 divisors (see below), whose sum is σ = 1567874880. Its totient is φ = 266612800.

The previous prime is 668280989. The next prime is 668281027. The reversal of 668281000 is 182866.

It is a super-2 number, since 2×6682810002 = 893198989922000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562407 + ... + 563593.

It is an arithmetic number, because the mean of its divisors is an integer number (24498045).

Almost surely, 2668281000 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 668281000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783937440).

668281000 is an abundant number, since it is smaller than the sum of its proper divisors (899593880).

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

668281000 is a wasteful number, since it uses less digits than its factorization.

668281000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 668281000 is about 25851.1315032824. The cubic root of 668281000 is about 874.2850213791.

The spelling of 668281000 in words is "six hundred sixty-eight million, two hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 563 1000 1126 1187 2252 2374 2815 4504 4748 5630 5935 9496 11260 11870 14075 22520 23740 28150 29675 47480 56300 59350 70375 112600 118700 140750 148375 237400 281500 296750 563000 593500 668281 1187000 1336562 2673124 3341405 5346248 6682810 13365620 16707025 26731240 33414050 66828100 83535125 133656200 167070250 334140500 668281000