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66241000 = 235379463
BaseRepresentation
bin1111110010110…
…0000111101000
311121122101120101
43330230013220
5113424203000
610323435144
71433016310
oct374540750
9147571511
1066241000
1134433931
121a225ab4
1310953877
148b24440
155c36e6a
hex3f2c1e8

66241000 has 64 divisors (see below), whose sum is σ = 177166080. Its totient is φ = 22708800.

The previous prime is 66240983. The next prime is 66241013. The reversal of 66241000 is 14266.

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, 2269 + ... + 11731.

It is an arithmetic number, because the mean of its divisors is an integer number (2768220).

Almost surely, 266241000 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 66241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88583040).

66241000 is an abundant number, since it is smaller than the sum of its proper divisors (110925080).

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

66241000 is a wasteful number, since it uses less digits than its factorization.

66241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9491 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 66241000 is about 8138.8574136669. The cubic root of 66241000 is about 404.6152928668.

Adding to 66241000 its reverse (14266), we get a palindrome (66255266).

The spelling of 66241000 in words is "sixty-six million, two hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 9463 18926 37852 47315 66241 75704 94630 132482 189260 236575 264964 331205 378520 473150 529928 662410 946300 1182875 1324820 1656025 1892600 2365750 2649640 3312050 4731500 6624100 8280125 9463000 13248200 16560250 33120500 66241000